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Finding the Third Proportional to 498,475.50 and 731,055.75

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Solution

The third proportional to 498,475.50 and 731,055.75 is: 1,072,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,475.50 : 731,055.75 = 731,055.75 : x
  2. Step 2: Convert to fraction form
    498,475.50/731,055.75 = 731,055.75/x
  3. Step 3: Cross multiply
    498,475.50x = 731,055.75 × 731,055.75
  4. Step 4: Simplify right side
    498,475.50x = 534,442,509,608.06
  5. Step 5: Solve for x
    x = 534,442,509,608.06/498,475.50
  6. Step 6: Final answer
    x = 1,072,154.02

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