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Finding the Third Proportional to 485,656.50 and 728,484.75

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Solution

The third proportional to 485,656.50 and 728,484.75 is: 1,092,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,656.50 : 728,484.75 = 728,484.75 : x
  2. Step 2: Convert to fraction form
    485,656.50/728,484.75 = 728,484.75/x
  3. Step 3: Cross multiply
    485,656.50x = 728,484.75 × 728,484.75
  4. Step 4: Simplify right side
    485,656.50x = 530,690,030,982.56
  5. Step 5: Solve for x
    x = 530,690,030,982.56/485,656.50
  6. Step 6: Final answer
    x = 1,092,727.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.