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Finding the Third Proportional to 228,224 and 463,360

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Solution

The third proportional to 228,224 and 463,360 is: 940,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,224 : 463,360 = 463,360 : x
  2. Step 2: Convert to fraction form
    228,224/463,360 = 463,360/x
  3. Step 3: Cross multiply
    228,224x = 463,360 × 463,360
  4. Step 4: Simplify right side
    228,224x = 214,702,489,600
  5. Step 5: Solve for x
    x = 214,702,489,600/228,224
  6. Step 6: Final answer
    x = 940,753.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.