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Finding the Third Proportional to 281,922 and 412,299

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Solution

The third proportional to 281,922 and 412,299 is: 602,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,922 : 412,299 = 412,299 : x
  2. Step 2: Convert to fraction form
    281,922/412,299 = 412,299/x
  3. Step 3: Cross multiply
    281,922x = 412,299 × 412,299
  4. Step 4: Simplify right side
    281,922x = 169,990,465,401
  5. Step 5: Solve for x
    x = 169,990,465,401/281,922
  6. Step 6: Final answer
    x = 602,969.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.