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Finding the Third Proportional to 399,213 and 865,809

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Solution

The third proportional to 399,213 and 865,809 is: 1,877,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,213 : 865,809 = 865,809 : x
  2. Step 2: Convert to fraction form
    399,213/865,809 = 865,809/x
  3. Step 3: Cross multiply
    399,213x = 865,809 × 865,809
  4. Step 4: Simplify right side
    399,213x = 749,625,224,481
  5. Step 5: Solve for x
    x = 749,625,224,481/399,213
  6. Step 6: Final answer
    x = 1,877,757.55

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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.