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Finding the Third Proportional to 323,683.88 and 490,024.13

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Solution

The third proportional to 323,683.88 and 490,024.13 is: 741,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,683.88 : 490,024.13 = 490,024.13 : x
  2. Step 2: Convert to fraction form
    323,683.88/490,024.13 = 490,024.13/x
  3. Step 3: Cross multiply
    323,683.88x = 490,024.13 × 490,024.13
  4. Step 4: Simplify right side
    323,683.88x = 240,123,643,082.02
  5. Step 5: Solve for x
    x = 240,123,643,082.02/323,683.88
  6. Step 6: Final answer
    x = 741,846.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.