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Finding the Third Proportional to 229,619 and 486,558

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Solution

The third proportional to 229,619 and 486,558 is: 1,031,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,619 : 486,558 = 486,558 : x
  2. Step 2: Convert to fraction form
    229,619/486,558 = 486,558/x
  3. Step 3: Cross multiply
    229,619x = 486,558 × 486,558
  4. Step 4: Simplify right side
    229,619x = 236,738,687,364
  5. Step 5: Solve for x
    x = 236,738,687,364/229,619
  6. Step 6: Final answer
    x = 1,031,006.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.