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Finding the Third Proportional to 322,274.50 and 701,897

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Solution

The third proportional to 322,274.50 and 701,897 is: 1,528,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,274.50 : 701,897 = 701,897 : x
  2. Step 2: Convert to fraction form
    322,274.50/701,897 = 701,897/x
  3. Step 3: Cross multiply
    322,274.50x = 701,897 × 701,897
  4. Step 4: Simplify right side
    322,274.50x = 492,659,398,609
  5. Step 5: Solve for x
    x = 492,659,398,609/322,274.50
  6. Step 6: Final answer
    x = 1,528,694.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.