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Finding the Third Proportional to 367,058 and 561,558

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Solution

The third proportional to 367,058 and 561,558 is: 859,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,058 : 561,558 = 561,558 : x
  2. Step 2: Convert to fraction form
    367,058/561,558 = 561,558/x
  3. Step 3: Cross multiply
    367,058x = 561,558 × 561,558
  4. Step 4: Simplify right side
    367,058x = 315,347,387,364
  5. Step 5: Solve for x
    x = 315,347,387,364/367,058
  6. Step 6: Final answer
    x = 859,121.41

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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.