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Finding the Third Proportional to 261,946 and 558,238

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Solution

The third proportional to 261,946 and 558,238 is: 1,189,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,946 : 558,238 = 558,238 : x
  2. Step 2: Convert to fraction form
    261,946/558,238 = 558,238/x
  3. Step 3: Cross multiply
    261,946x = 558,238 × 558,238
  4. Step 4: Simplify right side
    261,946x = 311,629,664,644
  5. Step 5: Solve for x
    x = 311,629,664,644/261,946
  6. Step 6: Final answer
    x = 1,189,671.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.