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Finding the Third Proportional to 268,335 and 574,245

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Solution

The third proportional to 268,335 and 574,245 is: 1,228,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,335 : 574,245 = 574,245 : x
  2. Step 2: Convert to fraction form
    268,335/574,245 = 574,245/x
  3. Step 3: Cross multiply
    268,335x = 574,245 × 574,245
  4. Step 4: Simplify right side
    268,335x = 329,757,320,025
  5. Step 5: Solve for x
    x = 329,757,320,025/268,335
  6. Step 6: Final answer
    x = 1,228,901.63

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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.