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Finding the Third Proportional to 542,782.25 and 1,135,082.50

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Solution

The third proportional to 542,782.25 and 1,135,082.50 is: 2,373,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,782.25 : 1,135,082.50 = 1,135,082.50 : x
  2. Step 2: Convert to fraction form
    542,782.25/1,135,082.50 = 1,135,082.50/x
  3. Step 3: Cross multiply
    542,782.25x = 1,135,082.50 × 1,135,082.50
  4. Step 4: Simplify right side
    542,782.25x = 1,288,412,281,806.25
  5. Step 5: Solve for x
    x = 1,288,412,281,806.25/542,782.25
  6. Step 6: Final answer
    x = 2,373,718.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.