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Finding the Third Proportional to 349,224.75 and 517,286.25

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Solution

The third proportional to 349,224.75 and 517,286.25 is: 766,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,224.75 : 517,286.25 = 517,286.25 : x
  2. Step 2: Convert to fraction form
    349,224.75/517,286.25 = 517,286.25/x
  3. Step 3: Cross multiply
    349,224.75x = 517,286.25 × 517,286.25
  4. Step 4: Simplify right side
    349,224.75x = 267,585,064,439.06
  5. Step 5: Solve for x
    x = 267,585,064,439.06/349,224.75
  6. Step 6: Final answer
    x = 766,225.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.