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Finding the Third Proportional to 264,368 and 376,866

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Solution

The third proportional to 264,368 and 376,866 is: 537,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,368 : 376,866 = 376,866 : x
  2. Step 2: Convert to fraction form
    264,368/376,866 = 376,866/x
  3. Step 3: Cross multiply
    264,368x = 376,866 × 376,866
  4. Step 4: Simplify right side
    264,368x = 142,027,981,956
  5. Step 5: Solve for x
    x = 142,027,981,956/264,368
  6. Step 6: Final answer
    x = 537,235.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.