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Finding the Third Proportional to 268,564 and 363,453

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Solution

The third proportional to 268,564 and 363,453 is: 491,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,564 : 363,453 = 363,453 : x
  2. Step 2: Convert to fraction form
    268,564/363,453 = 363,453/x
  3. Step 3: Cross multiply
    268,564x = 363,453 × 363,453
  4. Step 4: Simplify right side
    268,564x = 132,098,083,209
  5. Step 5: Solve for x
    x = 132,098,083,209/268,564
  6. Step 6: Final answer
    x = 491,868.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.