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Finding the Third Proportional to 471,717.75 and 628,479.75

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Solution

The third proportional to 471,717.75 and 628,479.75 is: 837,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,717.75 : 628,479.75 = 628,479.75 : x
  2. Step 2: Convert to fraction form
    471,717.75/628,479.75 = 628,479.75/x
  3. Step 3: Cross multiply
    471,717.75x = 628,479.75 × 628,479.75
  4. Step 4: Simplify right side
    471,717.75x = 394,986,796,160.06
  5. Step 5: Solve for x
    x = 394,986,796,160.06/471,717.75
  6. Step 6: Final answer
    x = 837,337.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.