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Finding the Third Proportional to 318,133.13 and 466,507.69

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Solution

The third proportional to 318,133.13 and 466,507.69 is: 684,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,133.13 : 466,507.69 = 466,507.69 : x
  2. Step 2: Convert to fraction form
    318,133.13/466,507.69 = 466,507.69/x
  3. Step 3: Cross multiply
    318,133.13x = 466,507.69 × 466,507.69
  4. Step 4: Simplify right side
    318,133.13x = 217,629,422,496.60
  5. Step 5: Solve for x
    x = 217,629,422,496.60/318,133.13
  6. Step 6: Final answer
    x = 684,082.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.