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Finding the Third Proportional to 482,688 and 655,545

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Solution

The third proportional to 482,688 and 655,545 is: 890,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,688 : 655,545 = 655,545 : x
  2. Step 2: Convert to fraction form
    482,688/655,545 = 655,545/x
  3. Step 3: Cross multiply
    482,688x = 655,545 × 655,545
  4. Step 4: Simplify right side
    482,688x = 429,739,247,025
  5. Step 5: Solve for x
    x = 429,739,247,025/482,688
  6. Step 6: Final answer
    x = 890,304.39

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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.