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Finding the Third Proportional to 484,704.50 and 740,178.75

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Solution

The third proportional to 484,704.50 and 740,178.75 is: 1,130,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,704.50 : 740,178.75 = 740,178.75 : x
  2. Step 2: Convert to fraction form
    484,704.50/740,178.75 = 740,178.75/x
  3. Step 3: Cross multiply
    484,704.50x = 740,178.75 × 740,178.75
  4. Step 4: Simplify right side
    484,704.50x = 547,864,581,951.56
  5. Step 5: Solve for x
    x = 547,864,581,951.56/484,704.50
  6. Step 6: Final answer
    x = 1,130,306.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.