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Finding the Third Proportional to 237,684 and 518,016

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Solution

The third proportional to 237,684 and 518,016 is: 1,128,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,684 : 518,016 = 518,016 : x
  2. Step 2: Convert to fraction form
    237,684/518,016 = 518,016/x
  3. Step 3: Cross multiply
    237,684x = 518,016 × 518,016
  4. Step 4: Simplify right side
    237,684x = 268,340,576,256
  5. Step 5: Solve for x
    x = 268,340,576,256/237,684
  6. Step 6: Final answer
    x = 1,128,980.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.