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Finding the Third Proportional to 387,840 and 808,888

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Solution

The third proportional to 387,840 and 808,888 is: 1,687,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,840 : 808,888 = 808,888 : x
  2. Step 2: Convert to fraction form
    387,840/808,888 = 808,888/x
  3. Step 3: Cross multiply
    387,840x = 808,888 × 808,888
  4. Step 4: Simplify right side
    387,840x = 654,299,796,544
  5. Step 5: Solve for x
    x = 654,299,796,544/387,840
  6. Step 6: Final answer
    x = 1,687,035.37

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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.