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Finding the Third Proportional to 227,038.50 and 486,675

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Solution

The third proportional to 227,038.50 and 486,675 is: 1,043,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,038.50 : 486,675 = 486,675 : x
  2. Step 2: Convert to fraction form
    227,038.50/486,675 = 486,675/x
  3. Step 3: Cross multiply
    227,038.50x = 486,675 × 486,675
  4. Step 4: Simplify right side
    227,038.50x = 236,852,555,625
  5. Step 5: Solve for x
    x = 236,852,555,625/227,038.50
  6. Step 6: Final answer
    x = 1,043,226.39

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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.