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Finding the Third Proportional to 467,601 and 723,225.50

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Solution

The third proportional to 467,601 and 723,225.50 is: 1,118,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,601 : 723,225.50 = 723,225.50 : x
  2. Step 2: Convert to fraction form
    467,601/723,225.50 = 723,225.50/x
  3. Step 3: Cross multiply
    467,601x = 723,225.50 × 723,225.50
  4. Step 4: Simplify right side
    467,601x = 523,055,123,850.25
  5. Step 5: Solve for x
    x = 523,055,123,850.25/467,601
  6. Step 6: Final answer
    x = 1,118,592.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.