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Finding the Third Proportional to 226,549 and 359,911

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Solution

The third proportional to 226,549 and 359,911 is: 571,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,549 : 359,911 = 359,911 : x
  2. Step 2: Convert to fraction form
    226,549/359,911 = 359,911/x
  3. Step 3: Cross multiply
    226,549x = 359,911 × 359,911
  4. Step 4: Simplify right side
    226,549x = 129,535,927,921
  5. Step 5: Solve for x
    x = 129,535,927,921/226,549
  6. Step 6: Final answer
    x = 571,778.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.