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Finding the Third Proportional to 237,046 and 518,372

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Solution

The third proportional to 237,046 and 518,372 is: 1,133,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,046 : 518,372 = 518,372 : x
  2. Step 2: Convert to fraction form
    237,046/518,372 = 518,372/x
  3. Step 3: Cross multiply
    237,046x = 518,372 × 518,372
  4. Step 4: Simplify right side
    237,046x = 268,709,530,384
  5. Step 5: Solve for x
    x = 268,709,530,384/237,046
  6. Step 6: Final answer
    x = 1,133,575.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.