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Finding the Third Proportional to 268,536 and 584,998

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Solution

The third proportional to 268,536 and 584,998 is: 1,274,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,536 : 584,998 = 584,998 : x
  2. Step 2: Convert to fraction form
    268,536/584,998 = 584,998/x
  3. Step 3: Cross multiply
    268,536x = 584,998 × 584,998
  4. Step 4: Simplify right side
    268,536x = 342,222,660,004
  5. Step 5: Solve for x
    x = 342,222,660,004/268,536
  6. Step 6: Final answer
    x = 1,274,401.42

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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.