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Finding the Third Proportional to 402,016 and 625,160

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Solution

The third proportional to 402,016 and 625,160 is: 972,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,016 : 625,160 = 625,160 : x
  2. Step 2: Convert to fraction form
    402,016/625,160 = 625,160/x
  3. Step 3: Cross multiply
    402,016x = 625,160 × 625,160
  4. Step 4: Simplify right side
    402,016x = 390,825,025,600
  5. Step 5: Solve for x
    x = 390,825,025,600/402,016
  6. Step 6: Final answer
    x = 972,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.