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Finding the Third Proportional to 588,480.75 and 1,247,580

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Solution

The third proportional to 588,480.75 and 1,247,580 is: 2,644,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,480.75 : 1,247,580 = 1,247,580 : x
  2. Step 2: Convert to fraction form
    588,480.75/1,247,580 = 1,247,580/x
  3. Step 3: Cross multiply
    588,480.75x = 1,247,580 × 1,247,580
  4. Step 4: Simplify right side
    588,480.75x = 1,556,455,856,400
  5. Step 5: Solve for x
    x = 1,556,455,856,400/588,480.75
  6. Step 6: Final answer
    x = 2,644,871.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.