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Finding the Third Proportional to 243,385 and 532,651

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Solution

The third proportional to 243,385 and 532,651 is: 1,165,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,385 : 532,651 = 532,651 : x
  2. Step 2: Convert to fraction form
    243,385/532,651 = 532,651/x
  3. Step 3: Cross multiply
    243,385x = 532,651 × 532,651
  4. Step 4: Simplify right side
    243,385x = 283,717,087,801
  5. Step 5: Solve for x
    x = 283,717,087,801/243,385
  6. Step 6: Final answer
    x = 1,165,713.12

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Why These Related Problems?

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