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Finding the Third Proportional to 228,227.50 and 492,540

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Solution

The third proportional to 228,227.50 and 492,540 is: 1,062,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,227.50 : 492,540 = 492,540 : x
  2. Step 2: Convert to fraction form
    228,227.50/492,540 = 492,540/x
  3. Step 3: Cross multiply
    228,227.50x = 492,540 × 492,540
  4. Step 4: Simplify right side
    228,227.50x = 242,595,651,600
  5. Step 5: Solve for x
    x = 242,595,651,600/228,227.50
  6. Step 6: Final answer
    x = 1,062,955.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.