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Finding the Third Proportional to 441,839.25 and 700,758

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Solution

The third proportional to 441,839.25 and 700,758 is: 1,111,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,839.25 : 700,758 = 700,758 : x
  2. Step 2: Convert to fraction form
    441,839.25/700,758 = 700,758/x
  3. Step 3: Cross multiply
    441,839.25x = 700,758 × 700,758
  4. Step 4: Simplify right side
    441,839.25x = 491,061,774,564
  5. Step 5: Solve for x
    x = 491,061,774,564/441,839.25
  6. Step 6: Final answer
    x = 1,111,403.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.