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Finding the Third Proportional to 498,456 and 731,030.50

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Solution

The third proportional to 498,456 and 731,030.50 is: 1,072,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,456 : 731,030.50 = 731,030.50 : x
  2. Step 2: Convert to fraction form
    498,456/731,030.50 = 731,030.50/x
  3. Step 3: Cross multiply
    498,456x = 731,030.50 × 731,030.50
  4. Step 4: Simplify right side
    498,456x = 534,405,591,930.25
  5. Step 5: Solve for x
    x = 534,405,591,930.25/498,456
  6. Step 6: Final answer
    x = 1,072,121.90

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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.