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Finding the Third Proportional to 398,911.50 and 864,282.38

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Solution

The third proportional to 398,911.50 and 864,282.38 is: 1,872,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,911.50 : 864,282.38 = 864,282.38 : x
  2. Step 2: Convert to fraction form
    398,911.50/864,282.38 = 864,282.38/x
  3. Step 3: Cross multiply
    398,911.50x = 864,282.38 × 864,282.38
  4. Step 4: Simplify right side
    398,911.50x = 746,984,023,735.64
  5. Step 5: Solve for x
    x = 746,984,023,735.64/398,911.50
  6. Step 6: Final answer
    x = 1,872,555.75

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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.