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Finding the Third Proportional to 317,601 and 491,406.75

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Solution

The third proportional to 317,601 and 491,406.75 is: 760,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,601 : 491,406.75 = 491,406.75 : x
  2. Step 2: Convert to fraction form
    317,601/491,406.75 = 491,406.75/x
  3. Step 3: Cross multiply
    317,601x = 491,406.75 × 491,406.75
  4. Step 4: Simplify right side
    317,601x = 241,480,593,945.56
  5. Step 5: Solve for x
    x = 241,480,593,945.56/317,601
  6. Step 6: Final answer
    x = 760,326.93

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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.