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Finding the Third Proportional to 275,484 and 425,682

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Solution

The third proportional to 275,484 and 425,682 is: 657,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,484 : 425,682 = 425,682 : x
  2. Step 2: Convert to fraction form
    275,484/425,682 = 425,682/x
  3. Step 3: Cross multiply
    275,484x = 425,682 × 425,682
  4. Step 4: Simplify right side
    275,484x = 181,205,165,124
  5. Step 5: Solve for x
    x = 181,205,165,124/275,484
  6. Step 6: Final answer
    x = 657,770.20

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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.