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Finding the Third Proportional to 410,818.50 and 613,473.75

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Solution

The third proportional to 410,818.50 and 613,473.75 is: 916,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,818.50 : 613,473.75 = 613,473.75 : x
  2. Step 2: Convert to fraction form
    410,818.50/613,473.75 = 613,473.75/x
  3. Step 3: Cross multiply
    410,818.50x = 613,473.75 × 613,473.75
  4. Step 4: Simplify right side
    410,818.50x = 376,350,041,939.06
  5. Step 5: Solve for x
    x = 376,350,041,939.06/410,818.50
  6. Step 6: Final answer
    x = 916,098.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.