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Finding the Third Proportional to 286,962 and 363,852

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Solution

The third proportional to 286,962 and 363,852 is: 461,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,962 : 363,852 = 363,852 : x
  2. Step 2: Convert to fraction form
    286,962/363,852 = 363,852/x
  3. Step 3: Cross multiply
    286,962x = 363,852 × 363,852
  4. Step 4: Simplify right side
    286,962x = 132,388,277,904
  5. Step 5: Solve for x
    x = 132,388,277,904/286,962
  6. Step 6: Final answer
    x = 461,344.28

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.