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Finding the Third Proportional to 270,082.50 and 588,762

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Solution

The third proportional to 270,082.50 and 588,762 is: 1,283,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,082.50 : 588,762 = 588,762 : x
  2. Step 2: Convert to fraction form
    270,082.50/588,762 = 588,762/x
  3. Step 3: Cross multiply
    270,082.50x = 588,762 × 588,762
  4. Step 4: Simplify right side
    270,082.50x = 346,640,692,644
  5. Step 5: Solve for x
    x = 346,640,692,644/270,082.50
  6. Step 6: Final answer
    x = 1,283,462.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.