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Finding the Third Proportional to 632,882 and 845,415

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Solution

The third proportional to 632,882 and 845,415 is: 1,129,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,882 : 845,415 = 845,415 : x
  2. Step 2: Convert to fraction form
    632,882/845,415 = 845,415/x
  3. Step 3: Cross multiply
    632,882x = 845,415 × 845,415
  4. Step 4: Simplify right side
    632,882x = 714,726,522,225
  5. Step 5: Solve for x
    x = 714,726,522,225/632,882
  6. Step 6: Final answer
    x = 1,129,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.