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Finding the Third Proportional to 299,904 and 452,954.25

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Solution

The third proportional to 299,904 and 452,954.25 is: 684,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,904 : 452,954.25 = 452,954.25 : x
  2. Step 2: Convert to fraction form
    299,904/452,954.25 = 452,954.25/x
  3. Step 3: Cross multiply
    299,904x = 452,954.25 × 452,954.25
  4. Step 4: Simplify right side
    299,904x = 205,167,552,593.06
  5. Step 5: Solve for x
    x = 205,167,552,593.06/299,904
  6. Step 6: Final answer
    x = 684,110.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.