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Finding the Third Proportional to 363,259.13 and 498,657.38

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Solution

The third proportional to 363,259.13 and 498,657.38 is: 684,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,259.13 : 498,657.38 = 498,657.38 : x
  2. Step 2: Convert to fraction form
    363,259.13/498,657.38 = 498,657.38/x
  3. Step 3: Cross multiply
    363,259.13x = 498,657.38 × 498,657.38
  4. Step 4: Simplify right side
    363,259.13x = 248,659,177,641.89
  5. Step 5: Solve for x
    x = 248,659,177,641.89/363,259.13
  6. Step 6: Final answer
    x = 684,522.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.