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Finding the Third Proportional to 413,934 and 632,781

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Solution

The third proportional to 413,934 and 632,781 is: 967,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,934 : 632,781 = 632,781 : x
  2. Step 2: Convert to fraction form
    413,934/632,781 = 632,781/x
  3. Step 3: Cross multiply
    413,934x = 632,781 × 632,781
  4. Step 4: Simplify right side
    413,934x = 400,411,793,961
  5. Step 5: Solve for x
    x = 400,411,793,961/413,934
  6. Step 6: Final answer
    x = 967,332.46

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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.