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Finding the Third Proportional to 297,540 and 619,146

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Solution

The third proportional to 297,540 and 619,146 is: 1,288,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,540 : 619,146 = 619,146 : x
  2. Step 2: Convert to fraction form
    297,540/619,146 = 619,146/x
  3. Step 3: Cross multiply
    297,540x = 619,146 × 619,146
  4. Step 4: Simplify right side
    297,540x = 383,341,769,316
  5. Step 5: Solve for x
    x = 383,341,769,316/297,540
  6. Step 6: Final answer
    x = 1,288,370.54

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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.