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Finding the Third Proportional to 268,356 and 574,296

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Solution

The third proportional to 268,356 and 574,296 is: 1,229,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,356 : 574,296 = 574,296 : x
  2. Step 2: Convert to fraction form
    268,356/574,296 = 574,296/x
  3. Step 3: Cross multiply
    268,356x = 574,296 × 574,296
  4. Step 4: Simplify right side
    268,356x = 329,815,895,616
  5. Step 5: Solve for x
    x = 329,815,895,616/268,356
  6. Step 6: Final answer
    x = 1,229,023.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.