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Finding the Third Proportional to 237,326 and 518,416

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Solution

The third proportional to 237,326 and 518,416 is: 1,132,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,326 : 518,416 = 518,416 : x
  2. Step 2: Convert to fraction form
    237,326/518,416 = 518,416/x
  3. Step 3: Cross multiply
    237,326x = 518,416 × 518,416
  4. Step 4: Simplify right side
    237,326x = 268,755,149,056
  5. Step 5: Solve for x
    x = 268,755,149,056/237,326
  6. Step 6: Final answer
    x = 1,132,430.28

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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.