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Finding the Third Proportional to 281,164.41 and 617,307.80

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Solution

The third proportional to 281,164.41 and 617,307.80 is: 1,355,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,164.41 : 617,307.80 = 617,307.80 : x
  2. Step 2: Convert to fraction form
    281,164.41/617,307.80 = 617,307.80/x
  3. Step 3: Cross multiply
    281,164.41x = 617,307.80 × 617,307.80
  4. Step 4: Simplify right side
    281,164.41x = 381,068,923,316.77
  5. Step 5: Solve for x
    x = 381,068,923,316.77/281,164.41
  6. Step 6: Final answer
    x = 1,355,324.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.