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Finding the Third Proportional to 313,630 and 471,150

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Solution

The third proportional to 313,630 and 471,150 is: 707,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,630 : 471,150 = 471,150 : x
  2. Step 2: Convert to fraction form
    313,630/471,150 = 471,150/x
  3. Step 3: Cross multiply
    313,630x = 471,150 × 471,150
  4. Step 4: Simplify right side
    313,630x = 221,982,322,500
  5. Step 5: Solve for x
    x = 221,982,322,500/313,630
  6. Step 6: Final answer
    x = 707,784.08

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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.