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Finding the Third Proportional to 254,624 and 559,552

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Solution

The third proportional to 254,624 and 559,552 is: 1,229,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,624 : 559,552 = 559,552 : x
  2. Step 2: Convert to fraction form
    254,624/559,552 = 559,552/x
  3. Step 3: Cross multiply
    254,624x = 559,552 × 559,552
  4. Step 4: Simplify right side
    254,624x = 313,098,440,704
  5. Step 5: Solve for x
    x = 313,098,440,704/254,624
  6. Step 6: Final answer
    x = 1,229,650.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.