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Finding the Third Proportional to 482,660.25 and 730,218

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Solution

The third proportional to 482,660.25 and 730,218 is: 1,104,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,660.25 : 730,218 = 730,218 : x
  2. Step 2: Convert to fraction form
    482,660.25/730,218 = 730,218/x
  3. Step 3: Cross multiply
    482,660.25x = 730,218 × 730,218
  4. Step 4: Simplify right side
    482,660.25x = 533,218,327,524
  5. Step 5: Solve for x
    x = 533,218,327,524/482,660.25
  6. Step 6: Final answer
    x = 1,104,748.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.