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Finding the Third Proportional to 325,771.88 and 761,167.13

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Solution

The third proportional to 325,771.88 and 761,167.13 is: 1,778,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,771.88 : 761,167.13 = 761,167.13 : x
  2. Step 2: Convert to fraction form
    325,771.88/761,167.13 = 761,167.13/x
  3. Step 3: Cross multiply
    325,771.88x = 761,167.13 × 761,167.13
  4. Step 4: Simplify right side
    325,771.88x = 579,375,392,180.77
  5. Step 5: Solve for x
    x = 579,375,392,180.77/325,771.88
  6. Step 6: Final answer
    x = 1,778,469.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.