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Finding the Third Proportional to 286,098 and 443,241

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Solution

The third proportional to 286,098 and 443,241 is: 686,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,098 : 443,241 = 443,241 : x
  2. Step 2: Convert to fraction form
    286,098/443,241 = 443,241/x
  3. Step 3: Cross multiply
    286,098x = 443,241 × 443,241
  4. Step 4: Simplify right side
    286,098x = 196,462,584,081
  5. Step 5: Solve for x
    x = 196,462,584,081/286,098
  6. Step 6: Final answer
    x = 686,696.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.