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Finding the Third Proportional to 493,552 and 743,976

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Solution

The third proportional to 493,552 and 743,976 is: 1,121,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,552 : 743,976 = 743,976 : x
  2. Step 2: Convert to fraction form
    493,552/743,976 = 743,976/x
  3. Step 3: Cross multiply
    493,552x = 743,976 × 743,976
  4. Step 4: Simplify right side
    493,552x = 553,500,288,576
  5. Step 5: Solve for x
    x = 553,500,288,576/493,552
  6. Step 6: Final answer
    x = 1,121,462.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.