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Finding the Third Proportional to 261,096 and 415,452

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Solution

The third proportional to 261,096 and 415,452 is: 661,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,096 : 415,452 = 415,452 : x
  2. Step 2: Convert to fraction form
    261,096/415,452 = 415,452/x
  3. Step 3: Cross multiply
    261,096x = 415,452 × 415,452
  4. Step 4: Simplify right side
    261,096x = 172,600,364,304
  5. Step 5: Solve for x
    x = 172,600,364,304/261,096
  6. Step 6: Final answer
    x = 661,060.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.