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Finding the Third Proportional to 387,827 and 808,864

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Solution

The third proportional to 387,827 and 808,864 is: 1,686,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,827 : 808,864 = 808,864 : x
  2. Step 2: Convert to fraction form
    387,827/808,864 = 808,864/x
  3. Step 3: Cross multiply
    387,827x = 808,864 × 808,864
  4. Step 4: Simplify right side
    387,827x = 654,260,970,496
  5. Step 5: Solve for x
    x = 654,260,970,496/387,827
  6. Step 6: Final answer
    x = 1,686,991.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.