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Finding the Third Proportional to 419,614 and 632,924

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Solution

The third proportional to 419,614 and 632,924 is: 954,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,614 : 632,924 = 632,924 : x
  2. Step 2: Convert to fraction form
    419,614/632,924 = 632,924/x
  3. Step 3: Cross multiply
    419,614x = 632,924 × 632,924
  4. Step 4: Simplify right side
    419,614x = 400,592,789,776
  5. Step 5: Solve for x
    x = 400,592,789,776/419,614
  6. Step 6: Final answer
    x = 954,669.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.