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Finding the Third Proportional to 268,292 and 376,004

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Solution

The third proportional to 268,292 and 376,004 is: 526,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,292 : 376,004 = 376,004 : x
  2. Step 2: Convert to fraction form
    268,292/376,004 = 376,004/x
  3. Step 3: Cross multiply
    268,292x = 376,004 × 376,004
  4. Step 4: Simplify right side
    268,292x = 141,379,008,016
  5. Step 5: Solve for x
    x = 141,379,008,016/268,292
  6. Step 6: Final answer
    x = 526,959.46

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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.