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Finding the Third Proportional to 268,340 and 574,254

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Solution

The third proportional to 268,340 and 574,254 is: 1,228,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,340 : 574,254 = 574,254 : x
  2. Step 2: Convert to fraction form
    268,340/574,254 = 574,254/x
  3. Step 3: Cross multiply
    268,340x = 574,254 × 574,254
  4. Step 4: Simplify right side
    268,340x = 329,767,656,516
  5. Step 5: Solve for x
    x = 329,767,656,516/268,340
  6. Step 6: Final answer
    x = 1,228,917.26

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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.