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Finding the Third Proportional to 323,680.50 and 490,019.06

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Solution

The third proportional to 323,680.50 and 490,019.06 is: 741,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,680.50 : 490,019.06 = 490,019.06 : x
  2. Step 2: Convert to fraction form
    323,680.50/490,019.06 = 490,019.06/x
  3. Step 3: Cross multiply
    323,680.50x = 490,019.06 × 490,019.06
  4. Step 4: Simplify right side
    323,680.50x = 240,118,681,613.38
  5. Step 5: Solve for x
    x = 240,118,681,613.38/323,680.50
  6. Step 6: Final answer
    x = 741,838.58

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