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Finding the Third Proportional to 313,215 and 477,166.50

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Solution

The third proportional to 313,215 and 477,166.50 is: 726,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,215 : 477,166.50 = 477,166.50 : x
  2. Step 2: Convert to fraction form
    313,215/477,166.50 = 477,166.50/x
  3. Step 3: Cross multiply
    313,215x = 477,166.50 × 477,166.50
  4. Step 4: Simplify right side
    313,215x = 227,687,868,722.25
  5. Step 5: Solve for x
    x = 227,687,868,722.25/313,215
  6. Step 6: Final answer
    x = 726,937.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.