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Finding the Third Proportional to 374,986 and 808,904

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Solution

The third proportional to 374,986 and 808,904 is: 1,744,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,986 : 808,904 = 808,904 : x
  2. Step 2: Convert to fraction form
    374,986/808,904 = 808,904/x
  3. Step 3: Cross multiply
    374,986x = 808,904 × 808,904
  4. Step 4: Simplify right side
    374,986x = 654,325,681,216
  5. Step 5: Solve for x
    x = 654,325,681,216/374,986
  6. Step 6: Final answer
    x = 1,744,933.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.