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Finding the Third Proportional to 542,800.50 and 1,157,738.25

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Solution

The third proportional to 542,800.50 and 1,157,738.25 is: 2,469,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,800.50 : 1,157,738.25 = 1,157,738.25 : x
  2. Step 2: Convert to fraction form
    542,800.50/1,157,738.25 = 1,157,738.25/x
  3. Step 3: Cross multiply
    542,800.50x = 1,157,738.25 × 1,157,738.25
  4. Step 4: Simplify right side
    542,800.50x = 1,340,357,855,513.06
  5. Step 5: Solve for x
    x = 1,340,357,855,513.06/542,800.50
  6. Step 6: Final answer
    x = 2,469,337.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.