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Finding the Third Proportional to 440,511.75 and 700,943.63

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Solution

The third proportional to 440,511.75 and 700,943.63 is: 1,115,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,511.75 : 700,943.63 = 700,943.63 : x
  2. Step 2: Convert to fraction form
    440,511.75/700,943.63 = 700,943.63/x
  3. Step 3: Cross multiply
    440,511.75x = 700,943.63 × 700,943.63
  4. Step 4: Simplify right side
    440,511.75x = 491,321,965,428.14
  5. Step 5: Solve for x
    x = 491,321,965,428.14/440,511.75
  6. Step 6: Final answer
    x = 1,115,343.61

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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.