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Finding the Third Proportional to 299,800.50 and 461,279.25

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Solution

The third proportional to 299,800.50 and 461,279.25 is: 709,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,800.50 : 461,279.25 = 461,279.25 : x
  2. Step 2: Convert to fraction form
    299,800.50/461,279.25 = 461,279.25/x
  3. Step 3: Cross multiply
    299,800.50x = 461,279.25 × 461,279.25
  4. Step 4: Simplify right side
    299,800.50x = 212,778,546,480.56
  5. Step 5: Solve for x
    x = 212,778,546,480.56/299,800.50
  6. Step 6: Final answer
    x = 709,733.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.