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Finding the Third Proportional to 411,194 and 656,151

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Solution

The third proportional to 411,194 and 656,151 is: 1,047,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,194 : 656,151 = 656,151 : x
  2. Step 2: Convert to fraction form
    411,194/656,151 = 656,151/x
  3. Step 3: Cross multiply
    411,194x = 656,151 × 656,151
  4. Step 4: Simplify right side
    411,194x = 430,534,134,801
  5. Step 5: Solve for x
    x = 430,534,134,801/411,194
  6. Step 6: Final answer
    x = 1,047,034.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.