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Finding the Third Proportional to 262,469 and 562,251

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Solution

The third proportional to 262,469 and 562,251 is: 1,204,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,469 : 562,251 = 562,251 : x
  2. Step 2: Convert to fraction form
    262,469/562,251 = 562,251/x
  3. Step 3: Cross multiply
    262,469x = 562,251 × 562,251
  4. Step 4: Simplify right side
    262,469x = 316,126,187,001
  5. Step 5: Solve for x
    x = 316,126,187,001/262,469
  6. Step 6: Final answer
    x = 1,204,432.47

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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.