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Finding the Third Proportional to 323,693.50 and 490,036.75

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Solution

The third proportional to 323,693.50 and 490,036.75 is: 741,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,693.50 : 490,036.75 = 490,036.75 : x
  2. Step 2: Convert to fraction form
    323,693.50/490,036.75 = 490,036.75/x
  3. Step 3: Cross multiply
    323,693.50x = 490,036.75 × 490,036.75
  4. Step 4: Simplify right side
    323,693.50x = 240,136,016,350.56
  5. Step 5: Solve for x
    x = 240,136,016,350.56/323,693.50
  6. Step 6: Final answer
    x = 741,862.34

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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.