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Finding the Third Proportional to 287,544 and 625,472

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Solution

The third proportional to 287,544 and 625,472 is: 1,360,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,544 : 625,472 = 625,472 : x
  2. Step 2: Convert to fraction form
    287,544/625,472 = 625,472/x
  3. Step 3: Cross multiply
    287,544x = 625,472 × 625,472
  4. Step 4: Simplify right side
    287,544x = 391,215,222,784
  5. Step 5: Solve for x
    x = 391,215,222,784/287,544
  6. Step 6: Final answer
    x = 1,360,540.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.