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Finding the Third Proportional to 240,326 and 518,649

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Solution

The third proportional to 240,326 and 518,649 is: 1,119,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,326 : 518,649 = 518,649 : x
  2. Step 2: Convert to fraction form
    240,326/518,649 = 518,649/x
  3. Step 3: Cross multiply
    240,326x = 518,649 × 518,649
  4. Step 4: Simplify right side
    240,326x = 268,996,785,201
  5. Step 5: Solve for x
    x = 268,996,785,201/240,326
  6. Step 6: Final answer
    x = 1,119,299.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.