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Finding the Third Proportional to 268,995 and 567,942

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Solution

The third proportional to 268,995 and 567,942 is: 1,199,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,995 : 567,942 = 567,942 : x
  2. Step 2: Convert to fraction form
    268,995/567,942 = 567,942/x
  3. Step 3: Cross multiply
    268,995x = 567,942 × 567,942
  4. Step 4: Simplify right side
    268,995x = 322,558,115,364
  5. Step 5: Solve for x
    x = 322,558,115,364/268,995
  6. Step 6: Final answer
    x = 1,199,123.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.