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Finding the Third Proportional to 275,209.50 and 411,534.75

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Solution

The third proportional to 275,209.50 and 411,534.75 is: 615,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,209.50 : 411,534.75 = 411,534.75 : x
  2. Step 2: Convert to fraction form
    275,209.50/411,534.75 = 411,534.75/x
  3. Step 3: Cross multiply
    275,209.50x = 411,534.75 × 411,534.75
  4. Step 4: Simplify right side
    275,209.50x = 169,360,850,457.56
  5. Step 5: Solve for x
    x = 169,360,850,457.56/275,209.50
  6. Step 6: Final answer
    x = 615,388.82

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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.