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Finding the Third Proportional to 368,869.50 and 760,738.50

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Solution

The third proportional to 368,869.50 and 760,738.50 is: 1,568,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,869.50 : 760,738.50 = 760,738.50 : x
  2. Step 2: Convert to fraction form
    368,869.50/760,738.50 = 760,738.50/x
  3. Step 3: Cross multiply
    368,869.50x = 760,738.50 × 760,738.50
  4. Step 4: Simplify right side
    368,869.50x = 578,723,065,382.25
  5. Step 5: Solve for x
    x = 578,723,065,382.25/368,869.50
  6. Step 6: Final answer
    x = 1,568,910.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.