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Finding the Third Proportional to 317,666 and 493,923

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Solution

The third proportional to 317,666 and 493,923 is: 767,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,666 : 493,923 = 493,923 : x
  2. Step 2: Convert to fraction form
    317,666/493,923 = 493,923/x
  3. Step 3: Cross multiply
    317,666x = 493,923 × 493,923
  4. Step 4: Simplify right side
    317,666x = 243,959,929,929
  5. Step 5: Solve for x
    x = 243,959,929,929/317,666
  6. Step 6: Final answer
    x = 767,976.21

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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.