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Finding the Third Proportional to 275,965 and 404,862

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Solution

The third proportional to 275,965 and 404,862 is: 593,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,965 : 404,862 = 404,862 : x
  2. Step 2: Convert to fraction form
    275,965/404,862 = 404,862/x
  3. Step 3: Cross multiply
    275,965x = 404,862 × 404,862
  4. Step 4: Simplify right side
    275,965x = 163,913,239,044
  5. Step 5: Solve for x
    x = 163,913,239,044/275,965
  6. Step 6: Final answer
    x = 593,963.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.