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Finding the Third Proportional to 482,911 and 655,854

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Solution

The third proportional to 482,911 and 655,854 is: 890,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,911 : 655,854 = 655,854 : x
  2. Step 2: Convert to fraction form
    482,911/655,854 = 655,854/x
  3. Step 3: Cross multiply
    482,911x = 655,854 × 655,854
  4. Step 4: Simplify right side
    482,911x = 430,144,469,316
  5. Step 5: Solve for x
    x = 430,144,469,316/482,911
  6. Step 6: Final answer
    x = 890,732.39

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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.