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Finding the Third Proportional to 413,296.50 and 622,982.50

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Solution

The third proportional to 413,296.50 and 622,982.50 is: 939,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,296.50 : 622,982.50 = 622,982.50 : x
  2. Step 2: Convert to fraction form
    413,296.50/622,982.50 = 622,982.50/x
  3. Step 3: Cross multiply
    413,296.50x = 622,982.50 × 622,982.50
  4. Step 4: Simplify right side
    413,296.50x = 388,107,195,306.25
  5. Step 5: Solve for x
    x = 388,107,195,306.25/413,296.50
  6. Step 6: Final answer
    x = 939,052.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.