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Finding the Third Proportional to 293,247 and 409,251

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Solution

The third proportional to 293,247 and 409,251 is: 571,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,247 : 409,251 = 409,251 : x
  2. Step 2: Convert to fraction form
    293,247/409,251 = 409,251/x
  3. Step 3: Cross multiply
    293,247x = 409,251 × 409,251
  4. Step 4: Simplify right side
    293,247x = 167,486,381,001
  5. Step 5: Solve for x
    x = 167,486,381,001/293,247
  6. Step 6: Final answer
    x = 571,144.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.