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Finding the Third Proportional to 275,223.75 and 411,552

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Solution

The third proportional to 275,223.75 and 411,552 is: 615,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,223.75 : 411,552 = 411,552 : x
  2. Step 2: Convert to fraction form
    275,223.75/411,552 = 411,552/x
  3. Step 3: Cross multiply
    275,223.75x = 411,552 × 411,552
  4. Step 4: Simplify right side
    275,223.75x = 169,375,048,704
  5. Step 5: Solve for x
    x = 169,375,048,704/275,223.75
  6. Step 6: Final answer
    x = 615,408.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.