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Finding the Third Proportional to 313,753.50 and 473,586.75

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Solution

The third proportional to 313,753.50 and 473,586.75 is: 714,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,753.50 : 473,586.75 = 473,586.75 : x
  2. Step 2: Convert to fraction form
    313,753.50/473,586.75 = 473,586.75/x
  3. Step 3: Cross multiply
    313,753.50x = 473,586.75 × 473,586.75
  4. Step 4: Simplify right side
    313,753.50x = 224,284,409,775.56
  5. Step 5: Solve for x
    x = 224,284,409,775.56/313,753.50
  6. Step 6: Final answer
    x = 714,842.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.