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Finding the Third Proportional to 313,751.25 and 471,341.25

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Solution

The third proportional to 313,751.25 and 471,341.25 is: 708,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,751.25 : 471,341.25 = 471,341.25 : x
  2. Step 2: Convert to fraction form
    313,751.25/471,341.25 = 471,341.25/x
  3. Step 3: Cross multiply
    313,751.25x = 471,341.25 × 471,341.25
  4. Step 4: Simplify right side
    313,751.25x = 222,162,573,951.56
  5. Step 5: Solve for x
    x = 222,162,573,951.56/313,751.25
  6. Step 6: Final answer
    x = 708,085.06

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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.