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Finding the Third Proportional to 419,599 and 632,882

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Solution

The third proportional to 419,599 and 632,882 is: 954,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,599 : 632,882 = 632,882 : x
  2. Step 2: Convert to fraction form
    419,599/632,882 = 632,882/x
  3. Step 3: Cross multiply
    419,599x = 632,882 × 632,882
  4. Step 4: Simplify right side
    419,599x = 400,539,625,924
  5. Step 5: Solve for x
    x = 400,539,625,924/419,599
  6. Step 6: Final answer
    x = 954,577.17

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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.