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Finding the Third Proportional to 413,776 and 632,696

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Solution

The third proportional to 413,776 and 632,696 is: 967,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,776 : 632,696 = 632,696 : x
  2. Step 2: Convert to fraction form
    413,776/632,696 = 632,696/x
  3. Step 3: Cross multiply
    413,776x = 632,696 × 632,696
  4. Step 4: Simplify right side
    413,776x = 400,304,228,416
  5. Step 5: Solve for x
    x = 400,304,228,416/413,776
  6. Step 6: Final answer
    x = 967,441.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.