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Finding the Third Proportional to 415,572 and 632,106

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Solution

The third proportional to 415,572 and 632,106 is: 961,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,572 : 632,106 = 632,106 : x
  2. Step 2: Convert to fraction form
    415,572/632,106 = 632,106/x
  3. Step 3: Cross multiply
    415,572x = 632,106 × 632,106
  4. Step 4: Simplify right side
    415,572x = 399,557,995,236
  5. Step 5: Solve for x
    x = 399,557,995,236/415,572
  6. Step 6: Final answer
    x = 961,465.15

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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.