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Finding the Third Proportional to 283,839 and 425,800.50

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Solution

The third proportional to 283,839 and 425,800.50 is: 638,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,839 : 425,800.50 = 425,800.50 : x
  2. Step 2: Convert to fraction form
    283,839/425,800.50 = 425,800.50/x
  3. Step 3: Cross multiply
    283,839x = 425,800.50 × 425,800.50
  4. Step 4: Simplify right side
    283,839x = 181,306,065,800.25
  5. Step 5: Solve for x
    x = 181,306,065,800.25/283,839
  6. Step 6: Final answer
    x = 638,763.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.