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Finding the Third Proportional to 287,494 and 625,166

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Solution

The third proportional to 287,494 and 625,166 is: 1,359,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,494 : 625,166 = 625,166 : x
  2. Step 2: Convert to fraction form
    287,494/625,166 = 625,166/x
  3. Step 3: Cross multiply
    287,494x = 625,166 × 625,166
  4. Step 4: Simplify right side
    287,494x = 390,832,527,556
  5. Step 5: Solve for x
    x = 390,832,527,556/287,494
  6. Step 6: Final answer
    x = 1,359,445.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.