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Finding the Third Proportional to 237,276 and 518,324

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Solution

The third proportional to 237,276 and 518,324 is: 1,132,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,276 : 518,324 = 518,324 : x
  2. Step 2: Convert to fraction form
    237,276/518,324 = 518,324/x
  3. Step 3: Cross multiply
    237,276x = 518,324 × 518,324
  4. Step 4: Simplify right side
    237,276x = 268,659,768,976
  5. Step 5: Solve for x
    x = 268,659,768,976/237,276
  6. Step 6: Final answer
    x = 1,132,266.93

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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.