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Finding the Third Proportional to 575,436 and 871,151

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Solution

The third proportional to 575,436 and 871,151 is: 1,318,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,436 : 871,151 = 871,151 : x
  2. Step 2: Convert to fraction form
    575,436/871,151 = 871,151/x
  3. Step 3: Cross multiply
    575,436x = 871,151 × 871,151
  4. Step 4: Simplify right side
    575,436x = 758,904,064,801
  5. Step 5: Solve for x
    x = 758,904,064,801/575,436
  6. Step 6: Final answer
    x = 1,318,833.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.