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Finding the Third Proportional to 228,838.50 and 473,589

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Solution

The third proportional to 228,838.50 and 473,589 is: 980,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,838.50 : 473,589 = 473,589 : x
  2. Step 2: Convert to fraction form
    228,838.50/473,589 = 473,589/x
  3. Step 3: Cross multiply
    228,838.50x = 473,589 × 473,589
  4. Step 4: Simplify right side
    228,838.50x = 224,286,540,921
  5. Step 5: Solve for x
    x = 224,286,540,921/228,838.50
  6. Step 6: Final answer
    x = 980,108.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.