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Finding the Third Proportional to 558,960.75 and 1,215,744.19

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Solution

The third proportional to 558,960.75 and 1,215,744.19 is: 2,644,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,960.75 : 1,215,744.19 = 1,215,744.19 : x
  2. Step 2: Convert to fraction form
    558,960.75/1,215,744.19 = 1,215,744.19/x
  3. Step 3: Cross multiply
    558,960.75x = 1,215,744.19 × 1,215,744.19
  4. Step 4: Simplify right side
    558,960.75x = 1,478,033,929,440.04
  5. Step 5: Solve for x
    x = 1,478,033,929,440.04/558,960.75
  6. Step 6: Final answer
    x = 2,644,253.52

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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.