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Finding the Third Proportional to 325,897.17 and 674,347.78

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Solution

The third proportional to 325,897.17 and 674,347.78 is: 1,395,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,897.17 : 674,347.78 = 674,347.78 : x
  2. Step 2: Convert to fraction form
    325,897.17/674,347.78 = 674,347.78/x
  3. Step 3: Cross multiply
    325,897.17x = 674,347.78 × 674,347.78
  4. Step 4: Simplify right side
    325,897.17x = 454,744,930,076.80
  5. Step 5: Solve for x
    x = 454,744,930,076.80/325,897.17
  6. Step 6: Final answer
    x = 1,395,363.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.