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Finding the Third Proportional to 408,244.50 and 634,723.50

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Solution

The third proportional to 408,244.50 and 634,723.50 is: 986,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,244.50 : 634,723.50 = 634,723.50 : x
  2. Step 2: Convert to fraction form
    408,244.50/634,723.50 = 634,723.50/x
  3. Step 3: Cross multiply
    408,244.50x = 634,723.50 × 634,723.50
  4. Step 4: Simplify right side
    408,244.50x = 402,873,921,452.25
  5. Step 5: Solve for x
    x = 402,873,921,452.25/408,244.50
  6. Step 6: Final answer
    x = 986,844.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.