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Finding the Third Proportional to 451,131.75 and 656,397

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Solution

The third proportional to 451,131.75 and 656,397 is: 955,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,131.75 : 656,397 = 656,397 : x
  2. Step 2: Convert to fraction form
    451,131.75/656,397 = 656,397/x
  3. Step 3: Cross multiply
    451,131.75x = 656,397 × 656,397
  4. Step 4: Simplify right side
    451,131.75x = 430,857,021,609
  5. Step 5: Solve for x
    x = 430,857,021,609/451,131.75
  6. Step 6: Final answer
    x = 955,058.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.