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Finding the Third Proportional to 398,170.69 and 862,756.31

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Solution

The third proportional to 398,170.69 and 862,756.31 is: 1,869,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,170.69 : 862,756.31 = 862,756.31 : x
  2. Step 2: Convert to fraction form
    398,170.69/862,756.31 = 862,756.31/x
  3. Step 3: Cross multiply
    398,170.69x = 862,756.31 × 862,756.31
  4. Step 4: Simplify right side
    398,170.69x = 744,348,454,758.60
  5. Step 5: Solve for x
    x = 744,348,454,758.60/398,170.69
  6. Step 6: Final answer
    x = 1,869,420.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.