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Finding the Third Proportional to 288,956 and 383,414

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Solution

The third proportional to 288,956 and 383,414 is: 508,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,956 : 383,414 = 383,414 : x
  2. Step 2: Convert to fraction form
    288,956/383,414 = 383,414/x
  3. Step 3: Cross multiply
    288,956x = 383,414 × 383,414
  4. Step 4: Simplify right side
    288,956x = 147,006,295,396
  5. Step 5: Solve for x
    x = 147,006,295,396/288,956
  6. Step 6: Final answer
    x = 508,749.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.