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Finding the Third Proportional to 275,265 and 425,443.50

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Solution

The third proportional to 275,265 and 425,443.50 is: 657,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,265 : 425,443.50 = 425,443.50 : x
  2. Step 2: Convert to fraction form
    275,265/425,443.50 = 425,443.50/x
  3. Step 3: Cross multiply
    275,265x = 425,443.50 × 425,443.50
  4. Step 4: Simplify right side
    275,265x = 181,002,171,692.25
  5. Step 5: Solve for x
    x = 181,002,171,692.25/275,265
  6. Step 6: Final answer
    x = 657,556.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.