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Finding the Third Proportional to 381,770 and 829,934

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Solution

The third proportional to 381,770 and 829,934 is: 1,804,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,770 : 829,934 = 829,934 : x
  2. Step 2: Convert to fraction form
    381,770/829,934 = 829,934/x
  3. Step 3: Cross multiply
    381,770x = 829,934 × 829,934
  4. Step 4: Simplify right side
    381,770x = 688,790,444,356
  5. Step 5: Solve for x
    x = 688,790,444,356/381,770
  6. Step 6: Final answer
    x = 1,804,202.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.