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Finding the Third Proportional to 224,418 and 491,065

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Solution

The third proportional to 224,418 and 491,065 is: 1,074,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,418 : 491,065 = 491,065 : x
  2. Step 2: Convert to fraction form
    224,418/491,065 = 491,065/x
  3. Step 3: Cross multiply
    224,418x = 491,065 × 491,065
  4. Step 4: Simplify right side
    224,418x = 241,144,834,225
  5. Step 5: Solve for x
    x = 241,144,834,225/224,418
  6. Step 6: Final answer
    x = 1,074,534.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.