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Finding the Third Proportional to 468,023 and 743,892

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Solution

The third proportional to 468,023 and 743,892 is: 1,182,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,023 : 743,892 = 743,892 : x
  2. Step 2: Convert to fraction form
    468,023/743,892 = 743,892/x
  3. Step 3: Cross multiply
    468,023x = 743,892 × 743,892
  4. Step 4: Simplify right side
    468,023x = 553,375,307,664
  5. Step 5: Solve for x
    x = 553,375,307,664/468,023
  6. Step 6: Final answer
    x = 1,182,367.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.