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Finding the Third Proportional to 451,149.75 and 961,287.75

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Solution

The third proportional to 451,149.75 and 961,287.75 is: 2,048,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,149.75 : 961,287.75 = 961,287.75 : x
  2. Step 2: Convert to fraction form
    451,149.75/961,287.75 = 961,287.75/x
  3. Step 3: Cross multiply
    451,149.75x = 961,287.75 × 961,287.75
  4. Step 4: Simplify right side
    451,149.75x = 924,074,138,300.06
  5. Step 5: Solve for x
    x = 924,074,138,300.06/451,149.75
  6. Step 6: Final answer
    x = 2,048,264.77

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.