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Finding the Third Proportional to 515,398 and 819,945

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Solution

The third proportional to 515,398 and 819,945 is: 1,304,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,398 : 819,945 = 819,945 : x
  2. Step 2: Convert to fraction form
    515,398/819,945 = 819,945/x
  3. Step 3: Cross multiply
    515,398x = 819,945 × 819,945
  4. Step 4: Simplify right side
    515,398x = 672,309,803,025
  5. Step 5: Solve for x
    x = 672,309,803,025/515,398
  6. Step 6: Final answer
    x = 1,304,447.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.