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Finding the Third Proportional to 239,818 and 518,062

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Solution

The third proportional to 239,818 and 518,062 is: 1,119,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,818 : 518,062 = 518,062 : x
  2. Step 2: Convert to fraction form
    239,818/518,062 = 518,062/x
  3. Step 3: Cross multiply
    239,818x = 518,062 × 518,062
  4. Step 4: Simplify right side
    239,818x = 268,388,235,844
  5. Step 5: Solve for x
    x = 268,388,235,844/239,818
  6. Step 6: Final answer
    x = 1,119,132.99

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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.