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Finding the Third Proportional to 226,154 and 486,652

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Solution

The third proportional to 226,154 and 486,652 is: 1,047,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,154 : 486,652 = 486,652 : x
  2. Step 2: Convert to fraction form
    226,154/486,652 = 486,652/x
  3. Step 3: Cross multiply
    226,154x = 486,652 × 486,652
  4. Step 4: Simplify right side
    226,154x = 236,830,169,104
  5. Step 5: Solve for x
    x = 236,830,169,104/226,154
  6. Step 6: Final answer
    x = 1,047,207.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.