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Finding the Third Proportional to 268,992 and 376,986

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Solution

The third proportional to 268,992 and 376,986 is: 528,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,992 : 376,986 = 376,986 : x
  2. Step 2: Convert to fraction form
    268,992/376,986 = 376,986/x
  3. Step 3: Cross multiply
    268,992x = 376,986 × 376,986
  4. Step 4: Simplify right side
    268,992x = 142,118,444,196
  5. Step 5: Solve for x
    x = 142,118,444,196/268,992
  6. Step 6: Final answer
    x = 528,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.