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Finding the Third Proportional to 225,819 and 486,887.63

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Solution

The third proportional to 225,819 and 486,887.63 is: 1,049,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,819 : 486,887.63 = 486,887.63 : x
  2. Step 2: Convert to fraction form
    225,819/486,887.63 = 486,887.63/x
  3. Step 3: Cross multiply
    225,819x = 486,887.63 × 486,887.63
  4. Step 4: Simplify right side
    225,819x = 237,059,559,378.14
  5. Step 5: Solve for x
    x = 237,059,559,378.14/225,819
  6. Step 6: Final answer
    x = 1,049,776.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.