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Finding the Third Proportional to 317,191.50 and 475,686

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Solution

The third proportional to 317,191.50 and 475,686 is: 713,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,191.50 : 475,686 = 475,686 : x
  2. Step 2: Convert to fraction form
    317,191.50/475,686 = 475,686/x
  3. Step 3: Cross multiply
    317,191.50x = 475,686 × 475,686
  4. Step 4: Simplify right side
    317,191.50x = 226,277,170,596
  5. Step 5: Solve for x
    x = 226,277,170,596/317,191.50
  6. Step 6: Final answer
    x = 713,377.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.