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Finding the Third Proportional to 288,082.13 and 414,964.13

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Solution

The third proportional to 288,082.13 and 414,964.13 is: 597,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,082.13 : 414,964.13 = 414,964.13 : x
  2. Step 2: Convert to fraction form
    288,082.13/414,964.13 = 414,964.13/x
  3. Step 3: Cross multiply
    288,082.13x = 414,964.13 × 414,964.13
  4. Step 4: Simplify right side
    288,082.13x = 172,195,225,037.02
  5. Step 5: Solve for x
    x = 172,195,225,037.02/288,082.13
  6. Step 6: Final answer
    x = 597,729.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.