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Finding the Third Proportional to 239,814 and 518,052

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Solution

The third proportional to 239,814 and 518,052 is: 1,119,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,814 : 518,052 = 518,052 : x
  2. Step 2: Convert to fraction form
    239,814/518,052 = 518,052/x
  3. Step 3: Cross multiply
    239,814x = 518,052 × 518,052
  4. Step 4: Simplify right side
    239,814x = 268,377,874,704
  5. Step 5: Solve for x
    x = 268,377,874,704/239,814
  6. Step 6: Final answer
    x = 1,119,108.45

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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.