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Finding the Third Proportional to 498,543.75 and 726,014.25

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Solution

The third proportional to 498,543.75 and 726,014.25 is: 1,057,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,543.75 : 726,014.25 = 726,014.25 : x
  2. Step 2: Convert to fraction form
    498,543.75/726,014.25 = 726,014.25/x
  3. Step 3: Cross multiply
    498,543.75x = 726,014.25 × 726,014.25
  4. Step 4: Simplify right side
    498,543.75x = 527,096,691,203.06
  5. Step 5: Solve for x
    x = 527,096,691,203.06/498,543.75
  6. Step 6: Final answer
    x = 1,057,272.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.