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Finding the Third Proportional to 464,997 and 658,151

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Solution

The third proportional to 464,997 and 658,151 is: 931,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,997 : 658,151 = 658,151 : x
  2. Step 2: Convert to fraction form
    464,997/658,151 = 658,151/x
  3. Step 3: Cross multiply
    464,997x = 658,151 × 658,151
  4. Step 4: Simplify right side
    464,997x = 433,162,738,801
  5. Step 5: Solve for x
    x = 433,162,738,801/464,997
  6. Step 6: Final answer
    x = 931,538.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.