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Finding the Third Proportional to 338,701.50 and 730,863

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Solution

The third proportional to 338,701.50 and 730,863 is: 1,577,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,701.50 : 730,863 = 730,863 : x
  2. Step 2: Convert to fraction form
    338,701.50/730,863 = 730,863/x
  3. Step 3: Cross multiply
    338,701.50x = 730,863 × 730,863
  4. Step 4: Simplify right side
    338,701.50x = 534,160,724,769
  5. Step 5: Solve for x
    x = 534,160,724,769/338,701.50
  6. Step 6: Final answer
    x = 1,577,084.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.