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Finding the Third Proportional to 413,649 and 632,502

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Solution

The third proportional to 413,649 and 632,502 is: 967,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,649 : 632,502 = 632,502 : x
  2. Step 2: Convert to fraction form
    413,649/632,502 = 632,502/x
  3. Step 3: Cross multiply
    413,649x = 632,502 × 632,502
  4. Step 4: Simplify right side
    413,649x = 400,058,780,004
  5. Step 5: Solve for x
    x = 400,058,780,004/413,649
  6. Step 6: Final answer
    x = 967,145.53

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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.