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Finding the Third Proportional to 225,529 and 486,316

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Solution

The third proportional to 225,529 and 486,316 is: 1,048,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,529 : 486,316 = 486,316 : x
  2. Step 2: Convert to fraction form
    225,529/486,316 = 486,316/x
  3. Step 3: Cross multiply
    225,529x = 486,316 × 486,316
  4. Step 4: Simplify right side
    225,529x = 236,503,251,856
  5. Step 5: Solve for x
    x = 236,503,251,856/225,529
  6. Step 6: Final answer
    x = 1,048,660.05

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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.