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Finding the Third Proportional to 393,909.75 and 864,083.25

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Solution

The third proportional to 393,909.75 and 864,083.25 is: 1,895,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,909.75 : 864,083.25 = 864,083.25 : x
  2. Step 2: Convert to fraction form
    393,909.75/864,083.25 = 864,083.25/x
  3. Step 3: Cross multiply
    393,909.75x = 864,083.25 × 864,083.25
  4. Step 4: Simplify right side
    393,909.75x = 746,639,862,930.56
  5. Step 5: Solve for x
    x = 746,639,862,930.56/393,909.75
  6. Step 6: Final answer
    x = 1,895,459.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.