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Finding the Third Proportional to 369,179 and 869,234

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Solution

The third proportional to 369,179 and 869,234 is: 2,046,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,179 : 869,234 = 869,234 : x
  2. Step 2: Convert to fraction form
    369,179/869,234 = 869,234/x
  3. Step 3: Cross multiply
    369,179x = 869,234 × 869,234
  4. Step 4: Simplify right side
    369,179x = 755,567,746,756
  5. Step 5: Solve for x
    x = 755,567,746,756/369,179
  6. Step 6: Final answer
    x = 2,046,616.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.