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Finding the Third Proportional to 410,143.50 and 548,758.13

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Solution

The third proportional to 410,143.50 and 548,758.13 is: 734,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,143.50 : 548,758.13 = 548,758.13 : x
  2. Step 2: Convert to fraction form
    410,143.50/548,758.13 = 548,758.13/x
  3. Step 3: Cross multiply
    410,143.50x = 548,758.13 × 548,758.13
  4. Step 4: Simplify right side
    410,143.50x = 301,135,479,753.52
  5. Step 5: Solve for x
    x = 301,135,479,753.52/410,143.50
  6. Step 6: Final answer
    x = 734,219.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.