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Finding the Third Proportional to 229,619 and 486,544

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Solution

The third proportional to 229,619 and 486,544 is: 1,030,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,619 : 486,544 = 486,544 : x
  2. Step 2: Convert to fraction form
    229,619/486,544 = 486,544/x
  3. Step 3: Cross multiply
    229,619x = 486,544 × 486,544
  4. Step 4: Simplify right side
    229,619x = 236,725,063,936
  5. Step 5: Solve for x
    x = 236,725,063,936/229,619
  6. Step 6: Final answer
    x = 1,030,947.19

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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.