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Finding the Third Proportional to 498,474 and 731,053.50

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Solution

The third proportional to 498,474 and 731,053.50 is: 1,072,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,474 : 731,053.50 = 731,053.50 : x
  2. Step 2: Convert to fraction form
    498,474/731,053.50 = 731,053.50/x
  3. Step 3: Cross multiply
    498,474x = 731,053.50 × 731,053.50
  4. Step 4: Simplify right side
    498,474x = 534,439,219,862.25
  5. Step 5: Solve for x
    x = 534,439,219,862.25/498,474
  6. Step 6: Final answer
    x = 1,072,150.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.