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Finding the Third Proportional to 473,721.75 and 728,149.50

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Solution

The third proportional to 473,721.75 and 728,149.50 is: 1,119,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,721.75 : 728,149.50 = 728,149.50 : x
  2. Step 2: Convert to fraction form
    473,721.75/728,149.50 = 728,149.50/x
  3. Step 3: Cross multiply
    473,721.75x = 728,149.50 × 728,149.50
  4. Step 4: Simplify right side
    473,721.75x = 530,201,694,350.25
  5. Step 5: Solve for x
    x = 530,201,694,350.25/473,721.75
  6. Step 6: Final answer
    x = 1,119,225.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.