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Finding the Third Proportional to 330,727 and 724,509.75

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Solution

The third proportional to 330,727 and 724,509.75 is: 1,587,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,727 : 724,509.75 = 724,509.75 : x
  2. Step 2: Convert to fraction form
    330,727/724,509.75 = 724,509.75/x
  3. Step 3: Cross multiply
    330,727x = 724,509.75 × 724,509.75
  4. Step 4: Simplify right side
    330,727x = 524,914,377,845.06
  5. Step 5: Solve for x
    x = 524,914,377,845.06/330,727
  6. Step 6: Final answer
    x = 1,587,153.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.