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Finding the Third Proportional to 415,932 and 632,652

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Solution

The third proportional to 415,932 and 632,652 is: 962,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,932 : 632,652 = 632,652 : x
  2. Step 2: Convert to fraction form
    415,932/632,652 = 632,652/x
  3. Step 3: Cross multiply
    415,932x = 632,652 × 632,652
  4. Step 4: Simplify right side
    415,932x = 400,248,553,104
  5. Step 5: Solve for x
    x = 400,248,553,104/415,932
  6. Step 6: Final answer
    x = 962,293.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.