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Finding the Third Proportional to 240,768 and 518,868

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Solution

The third proportional to 240,768 and 518,868 is: 1,118,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,768 : 518,868 = 518,868 : x
  2. Step 2: Convert to fraction form
    240,768/518,868 = 518,868/x
  3. Step 3: Cross multiply
    240,768x = 518,868 × 518,868
  4. Step 4: Simplify right side
    240,768x = 269,224,001,424
  5. Step 5: Solve for x
    x = 269,224,001,424/240,768
  6. Step 6: Final answer
    x = 1,118,188.47

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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.