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Finding the Third Proportional to 349,725,322.50 and 724,211,856.75

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Solution

The third proportional to 349,725,322.50 and 724,211,856.75 is: 1,499,699,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,725,322.50 : 724,211,856.75 = 724,211,856.75 : x
  2. Step 2: Convert to fraction form
    349,725,322.50/724,211,856.75 = 724,211,856.75/x
  3. Step 3: Cross multiply
    349,725,322.50x = 724,211,856.75 × 724,211,856.75
  4. Step 4: Simplify right side
    349,725,322.50x = 524,482,813,457,282,496
  5. Step 5: Solve for x
    x = 524,482,813,457,282,496/349,725,322.50
  6. Step 6: Final answer
    x = 1,499,699,277.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.