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Finding the Third Proportional to 467,777.53 and 724,022.30

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Solution

The third proportional to 467,777.53 and 724,022.30 is: 1,120,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,777.53 : 724,022.30 = 724,022.30 : x
  2. Step 2: Convert to fraction form
    467,777.53/724,022.30 = 724,022.30/x
  3. Step 3: Cross multiply
    467,777.53x = 724,022.30 × 724,022.30
  4. Step 4: Simplify right side
    467,777.53x = 524,208,286,372.15
  5. Step 5: Solve for x
    x = 524,208,286,372.15/467,777.53
  6. Step 6: Final answer
    x = 1,120,635.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.