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Finding the Third Proportional to 240,768 and 518,536

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Solution

The third proportional to 240,768 and 518,536 is: 1,116,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,768 : 518,536 = 518,536 : x
  2. Step 2: Convert to fraction form
    240,768/518,536 = 518,536/x
  3. Step 3: Cross multiply
    240,768x = 518,536 × 518,536
  4. Step 4: Simplify right side
    240,768x = 268,879,583,296
  5. Step 5: Solve for x
    x = 268,879,583,296/240,768
  6. Step 6: Final answer
    x = 1,116,757.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.