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Finding the Third Proportional to 226,152 and 486,648

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Solution

The third proportional to 226,152 and 486,648 is: 1,047,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,152 : 486,648 = 486,648 : x
  2. Step 2: Convert to fraction form
    226,152/486,648 = 486,648/x
  3. Step 3: Cross multiply
    226,152x = 486,648 × 486,648
  4. Step 4: Simplify right side
    226,152x = 236,826,275,904
  5. Step 5: Solve for x
    x = 236,826,275,904/226,152
  6. Step 6: Final answer
    x = 1,047,199.56

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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.