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Finding the Third Proportional to 466,682 and 723,975

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Solution

The third proportional to 466,682 and 723,975 is: 1,123,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,682 : 723,975 = 723,975 : x
  2. Step 2: Convert to fraction form
    466,682/723,975 = 723,975/x
  3. Step 3: Cross multiply
    466,682x = 723,975 × 723,975
  4. Step 4: Simplify right side
    466,682x = 524,139,800,625
  5. Step 5: Solve for x
    x = 524,139,800,625/466,682
  6. Step 6: Final answer
    x = 1,123,119.81

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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.