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Finding the Third Proportional to 413,706 and 632,592

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Solution

The third proportional to 413,706 and 632,592 is: 967,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,706 : 632,592 = 632,592 : x
  2. Step 2: Convert to fraction form
    413,706/632,592 = 632,592/x
  3. Step 3: Cross multiply
    413,706x = 632,592 × 632,592
  4. Step 4: Simplify right side
    413,706x = 400,172,638,464
  5. Step 5: Solve for x
    x = 400,172,638,464/413,706
  6. Step 6: Final answer
    x = 967,287.49

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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.