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Finding the Third Proportional to 399,311 and 865,015

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Solution

The third proportional to 399,311 and 865,015 is: 1,873,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,311 : 865,015 = 865,015 : x
  2. Step 2: Convert to fraction form
    399,311/865,015 = 865,015/x
  3. Step 3: Cross multiply
    399,311x = 865,015 × 865,015
  4. Step 4: Simplify right side
    399,311x = 748,250,950,225
  5. Step 5: Solve for x
    x = 748,250,950,225/399,311
  6. Step 6: Final answer
    x = 1,873,855.09

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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.