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Finding the Third Proportional to 273,061.13 and 409,591.13

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Solution

The third proportional to 273,061.13 and 409,591.13 is: 614,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,061.13 : 409,591.13 = 409,591.13 : x
  2. Step 2: Convert to fraction form
    273,061.13/409,591.13 = 409,591.13/x
  3. Step 3: Cross multiply
    273,061.13x = 409,591.13 × 409,591.13
  4. Step 4: Simplify right side
    273,061.13x = 167,764,889,678.77
  5. Step 5: Solve for x
    x = 167,764,889,678.77/273,061.13
  6. Step 6: Final answer
    x = 614,385.84

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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.