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Finding the Third Proportional to 322,916.75 and 498,001.25

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Solution

The third proportional to 322,916.75 and 498,001.25 is: 768,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,916.75 : 498,001.25 = 498,001.25 : x
  2. Step 2: Convert to fraction form
    322,916.75/498,001.25 = 498,001.25/x
  3. Step 3: Cross multiply
    322,916.75x = 498,001.25 × 498,001.25
  4. Step 4: Simplify right side
    322,916.75x = 248,005,245,001.56
  5. Step 5: Solve for x
    x = 248,005,245,001.56/322,916.75
  6. Step 6: Final answer
    x = 768,016.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.