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Finding the Third Proportional to 261,254 and 392,233

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Solution

The third proportional to 261,254 and 392,233 is: 588,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,254 : 392,233 = 392,233 : x
  2. Step 2: Convert to fraction form
    261,254/392,233 = 392,233/x
  3. Step 3: Cross multiply
    261,254x = 392,233 × 392,233
  4. Step 4: Simplify right side
    261,254x = 153,846,726,289
  5. Step 5: Solve for x
    x = 153,846,726,289/261,254
  6. Step 6: Final answer
    x = 588,877.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.