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Finding the Third Proportional to 373,481 and 800,215

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Solution

The third proportional to 373,481 and 800,215 is: 1,714,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,481 : 800,215 = 800,215 : x
  2. Step 2: Convert to fraction form
    373,481/800,215 = 800,215/x
  3. Step 3: Cross multiply
    373,481x = 800,215 × 800,215
  4. Step 4: Simplify right side
    373,481x = 640,344,046,225
  5. Step 5: Solve for x
    x = 640,344,046,225/373,481
  6. Step 6: Final answer
    x = 1,714,529.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.