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Finding the Third Proportional to 440,502.75 and 700,138.13

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Solution

The third proportional to 440,502.75 and 700,138.13 is: 1,112,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,502.75 : 700,138.13 = 700,138.13 : x
  2. Step 2: Convert to fraction form
    440,502.75/700,138.13 = 700,138.13/x
  3. Step 3: Cross multiply
    440,502.75x = 700,138.13 × 700,138.13
  4. Step 4: Simplify right side
    440,502.75x = 490,193,394,078.52
  5. Step 5: Solve for x
    x = 490,193,394,078.52/440,502.75
  6. Step 6: Final answer
    x = 1,112,804.39

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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.