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Finding the Third Proportional to 318,471.75 and 464,572.13

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Solution

The third proportional to 318,471.75 and 464,572.13 is: 677,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,471.75 : 464,572.13 = 464,572.13 : x
  2. Step 2: Convert to fraction form
    318,471.75/464,572.13 = 464,572.13/x
  3. Step 3: Cross multiply
    318,471.75x = 464,572.13 × 464,572.13
  4. Step 4: Simplify right side
    318,471.75x = 215,827,259,327.02
  5. Step 5: Solve for x
    x = 215,827,259,327.02/318,471.75
  6. Step 6: Final answer
    x = 677,696.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.