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Finding the Third Proportional to 299,982.94 and 653,888.81

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Solution

The third proportional to 299,982.94 and 653,888.81 is: 1,425,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,982.94 : 653,888.81 = 653,888.81 : x
  2. Step 2: Convert to fraction form
    299,982.94/653,888.81 = 653,888.81/x
  3. Step 3: Cross multiply
    299,982.94x = 653,888.81 × 653,888.81
  4. Step 4: Simplify right side
    299,982.94x = 427,570,579,112.66
  5. Step 5: Solve for x
    x = 427,570,579,112.66/299,982.94
  6. Step 6: Final answer
    x = 1,425,316.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.