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Finding the Third Proportional to 227,037.75 and 486,674

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Solution

The third proportional to 227,037.75 and 486,674 is: 1,043,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,037.75 : 486,674 = 486,674 : x
  2. Step 2: Convert to fraction form
    227,037.75/486,674 = 486,674/x
  3. Step 3: Cross multiply
    227,037.75x = 486,674 × 486,674
  4. Step 4: Simplify right side
    227,037.75x = 236,851,582,276
  5. Step 5: Solve for x
    x = 236,851,582,276/227,037.75
  6. Step 6: Final answer
    x = 1,043,225.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.