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Finding the Third Proportional to 313,575.50 and 471,069.75

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Solution

The third proportional to 313,575.50 and 471,069.75 is: 707,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,575.50 : 471,069.75 = 471,069.75 : x
  2. Step 2: Convert to fraction form
    313,575.50/471,069.75 = 471,069.75/x
  3. Step 3: Cross multiply
    313,575.50x = 471,069.75 × 471,069.75
  4. Step 4: Simplify right side
    313,575.50x = 221,906,709,365.06
  5. Step 5: Solve for x
    x = 221,906,709,365.06/313,575.50
  6. Step 6: Final answer
    x = 707,665.97

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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.