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Finding the Third Proportional to 275,582.25 and 425,857.50

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Solution

The third proportional to 275,582.25 and 425,857.50 is: 658,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,582.25 : 425,857.50 = 425,857.50 : x
  2. Step 2: Convert to fraction form
    275,582.25/425,857.50 = 425,857.50/x
  3. Step 3: Cross multiply
    275,582.25x = 425,857.50 × 425,857.50
  4. Step 4: Simplify right side
    275,582.25x = 181,354,610,306.25
  5. Step 5: Solve for x
    x = 181,354,610,306.25/275,582.25
  6. Step 6: Final answer
    x = 658,077.98

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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.