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Finding the Third Proportional to 349,725,327 and 724,211,865

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Solution

The third proportional to 349,725,327 and 724,211,865 is: 1,499,699,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,725,327 : 724,211,865 = 724,211,865 : x
  2. Step 2: Convert to fraction form
    349,725,327/724,211,865 = 724,211,865/x
  3. Step 3: Cross multiply
    349,725,327x = 724,211,865 × 724,211,865
  4. Step 4: Simplify right side
    349,725,327x = 524,482,825,406,778,240
  5. Step 5: Solve for x
    x = 524,482,825,406,778,240/349,725,327
  6. Step 6: Final answer
    x = 1,499,699,292.32

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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.