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Finding the Third Proportional to 367,048 and 561,544

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Solution

The third proportional to 367,048 and 561,544 is: 859,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,048 : 561,544 = 561,544 : x
  2. Step 2: Convert to fraction form
    367,048/561,544 = 561,544/x
  3. Step 3: Cross multiply
    367,048x = 561,544 × 561,544
  4. Step 4: Simplify right side
    367,048x = 315,331,663,936
  5. Step 5: Solve for x
    x = 315,331,663,936/367,048
  6. Step 6: Final answer
    x = 859,101.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.