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Finding the Third Proportional to 270,205.50 and 587,977.50

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Solution

The third proportional to 270,205.50 and 587,977.50 is: 1,279,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,205.50 : 587,977.50 = 587,977.50 : x
  2. Step 2: Convert to fraction form
    270,205.50/587,977.50 = 587,977.50/x
  3. Step 3: Cross multiply
    270,205.50x = 587,977.50 × 587,977.50
  4. Step 4: Simplify right side
    270,205.50x = 345,717,540,506.25
  5. Step 5: Solve for x
    x = 345,717,540,506.25/270,205.50
  6. Step 6: Final answer
    x = 1,279,461.52

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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.