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Finding the Third Proportional to 230,787 and 484,899

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Solution

The third proportional to 230,787 and 484,899 is: 1,018,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,787 : 484,899 = 484,899 : x
  2. Step 2: Convert to fraction form
    230,787/484,899 = 484,899/x
  3. Step 3: Cross multiply
    230,787x = 484,899 × 484,899
  4. Step 4: Simplify right side
    230,787x = 235,127,040,201
  5. Step 5: Solve for x
    x = 235,127,040,201/230,787
  6. Step 6: Final answer
    x = 1,018,805.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.