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Finding the Third Proportional to 237,348 and 518,460

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Solution

The third proportional to 237,348 and 518,460 is: 1,132,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,348 : 518,460 = 518,460 : x
  2. Step 2: Convert to fraction form
    237,348/518,460 = 518,460/x
  3. Step 3: Cross multiply
    237,348x = 518,460 × 518,460
  4. Step 4: Simplify right side
    237,348x = 268,800,771,600
  5. Step 5: Solve for x
    x = 268,800,771,600/237,348
  6. Step 6: Final answer
    x = 1,132,517.53

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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.