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Finding the Third Proportional to 330,735.66 and 724,524.75

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Solution

The third proportional to 330,735.66 and 724,524.75 is: 1,587,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,735.66 : 724,524.75 = 724,524.75 : x
  2. Step 2: Convert to fraction form
    330,735.66/724,524.75 = 724,524.75/x
  3. Step 3: Cross multiply
    330,735.66x = 724,524.75 × 724,524.75
  4. Step 4: Simplify right side
    330,735.66x = 524,936,113,362.56
  5. Step 5: Solve for x
    x = 524,936,113,362.56/330,735.66
  6. Step 6: Final answer
    x = 1,587,177.26

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Why These Related Problems?

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