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Finding the Third Proportional to 243,460.69 and 532,711.69

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Solution

The third proportional to 243,460.69 and 532,711.69 is: 1,165,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,460.69 : 532,711.69 = 532,711.69 : x
  2. Step 2: Convert to fraction form
    243,460.69/532,711.69 = 532,711.69/x
  3. Step 3: Cross multiply
    243,460.69x = 532,711.69 × 532,711.69
  4. Step 4: Simplify right side
    243,460.69x = 283,781,741,999.10
  5. Step 5: Solve for x
    x = 283,781,741,999.10/243,460.69
  6. Step 6: Final answer
    x = 1,165,616.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.