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Finding the Third Proportional to 489,349.88 and 748,650.38

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Solution

The third proportional to 489,349.88 and 748,650.38 is: 1,145,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,349.88 : 748,650.38 = 748,650.38 : x
  2. Step 2: Convert to fraction form
    489,349.88/748,650.38 = 748,650.38/x
  3. Step 3: Cross multiply
    489,349.88x = 748,650.38 × 748,650.38
  4. Step 4: Simplify right side
    489,349.88x = 560,477,383,987.64
  5. Step 5: Solve for x
    x = 560,477,383,987.64/489,349.88
  6. Step 6: Final answer
    x = 1,145,351.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.