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Finding the Third Proportional to 482,690 and 655,548

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Solution

The third proportional to 482,690 and 655,548 is: 890,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,690 : 655,548 = 655,548 : x
  2. Step 2: Convert to fraction form
    482,690/655,548 = 655,548/x
  3. Step 3: Cross multiply
    482,690x = 655,548 × 655,548
  4. Step 4: Simplify right side
    482,690x = 429,743,180,304
  5. Step 5: Solve for x
    x = 429,743,180,304/482,690
  6. Step 6: Final answer
    x = 890,308.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.