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Finding the Third Proportional to 228,900 and 493,128

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Solution

The third proportional to 228,900 and 493,128 is: 1,062,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,900 : 493,128 = 493,128 : x
  2. Step 2: Convert to fraction form
    228,900/493,128 = 493,128/x
  3. Step 3: Cross multiply
    228,900x = 493,128 × 493,128
  4. Step 4: Simplify right side
    228,900x = 243,175,224,384
  5. Step 5: Solve for x
    x = 243,175,224,384/228,900
  6. Step 6: Final answer
    x = 1,062,364.46

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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.