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Finding the Third Proportional to 297,313.50 and 619,251

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Solution

The third proportional to 297,313.50 and 619,251 is: 1,289,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,313.50 : 619,251 = 619,251 : x
  2. Step 2: Convert to fraction form
    297,313.50/619,251 = 619,251/x
  3. Step 3: Cross multiply
    297,313.50x = 619,251 × 619,251
  4. Step 4: Simplify right side
    297,313.50x = 383,471,801,001
  5. Step 5: Solve for x
    x = 383,471,801,001/297,313.50
  6. Step 6: Final answer
    x = 1,289,789.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.