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Finding the Third Proportional to 204,807 and 425,967

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Solution

The third proportional to 204,807 and 425,967 is: 885,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,807 : 425,967 = 425,967 : x
  2. Step 2: Convert to fraction form
    204,807/425,967 = 425,967/x
  3. Step 3: Cross multiply
    204,807x = 425,967 × 425,967
  4. Step 4: Simplify right side
    204,807x = 181,447,885,089
  5. Step 5: Solve for x
    x = 181,447,885,089/204,807
  6. Step 6: Final answer
    x = 885,945.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.