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Finding the Third Proportional to 240,018 and 518,536

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Solution

The third proportional to 240,018 and 518,536 is: 1,120,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,018 : 518,536 = 518,536 : x
  2. Step 2: Convert to fraction form
    240,018/518,536 = 518,536/x
  3. Step 3: Cross multiply
    240,018x = 518,536 × 518,536
  4. Step 4: Simplify right side
    240,018x = 268,879,583,296
  5. Step 5: Solve for x
    x = 268,879,583,296/240,018
  6. Step 6: Final answer
    x = 1,120,247.58

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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.