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Finding the Third Proportional to 398,781 and 595,561.50

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Solution

The third proportional to 398,781 and 595,561.50 is: 889,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,781 : 595,561.50 = 595,561.50 : x
  2. Step 2: Convert to fraction form
    398,781/595,561.50 = 595,561.50/x
  3. Step 3: Cross multiply
    398,781x = 595,561.50 × 595,561.50
  4. Step 4: Simplify right side
    398,781x = 354,693,500,282.25
  5. Step 5: Solve for x
    x = 354,693,500,282.25/398,781
  6. Step 6: Final answer
    x = 889,444.33

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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.