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Finding the Third Proportional to 227,785 and 483,600

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Solution

The third proportional to 227,785 and 483,600 is: 1,026,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,785 : 483,600 = 483,600 : x
  2. Step 2: Convert to fraction form
    227,785/483,600 = 483,600/x
  3. Step 3: Cross multiply
    227,785x = 483,600 × 483,600
  4. Step 4: Simplify right side
    227,785x = 233,868,960,000
  5. Step 5: Solve for x
    x = 233,868,960,000/227,785
  6. Step 6: Final answer
    x = 1,026,709.22

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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.