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Finding the Third Proportional to 409,141.13 and 550,359.56

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Solution

The third proportional to 409,141.13 and 550,359.56 is: 740,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,141.13 : 550,359.56 = 550,359.56 : x
  2. Step 2: Convert to fraction form
    409,141.13/550,359.56 = 550,359.56/x
  3. Step 3: Cross multiply
    409,141.13x = 550,359.56 × 550,359.56
  4. Step 4: Simplify right side
    409,141.13x = 302,895,648,035.19
  5. Step 5: Solve for x
    x = 302,895,648,035.19/409,141.13
  6. Step 6: Final answer
    x = 740,320.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.