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Finding the Third Proportional to 283,841 and 425,804

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Solution

The third proportional to 283,841 and 425,804 is: 638,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,841 : 425,804 = 425,804 : x
  2. Step 2: Convert to fraction form
    283,841/425,804 = 425,804/x
  3. Step 3: Cross multiply
    283,841x = 425,804 × 425,804
  4. Step 4: Simplify right side
    283,841x = 181,309,046,416
  5. Step 5: Solve for x
    x = 181,309,046,416/283,841
  6. Step 6: Final answer
    x = 638,769.76

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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.