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Finding the Third Proportional to 602,892 and 803,691

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Solution

The third proportional to 602,892 and 803,691 is: 1,071,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,892 : 803,691 = 803,691 : x
  2. Step 2: Convert to fraction form
    602,892/803,691 = 803,691/x
  3. Step 3: Cross multiply
    602,892x = 803,691 × 803,691
  4. Step 4: Simplify right side
    602,892x = 645,919,223,481
  5. Step 5: Solve for x
    x = 645,919,223,481/602,892
  6. Step 6: Final answer
    x = 1,071,368.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.