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Finding the Third Proportional to 239,830 and 518,080

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Solution

The third proportional to 239,830 and 518,080 is: 1,119,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,830 : 518,080 = 518,080 : x
  2. Step 2: Convert to fraction form
    239,830/518,080 = 518,080/x
  3. Step 3: Cross multiply
    239,830x = 518,080 × 518,080
  4. Step 4: Simplify right side
    239,830x = 268,406,886,400
  5. Step 5: Solve for x
    x = 268,406,886,400/239,830
  6. Step 6: Final answer
    x = 1,119,154.76

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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.