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Finding the Third Proportional to 281,323.50 and 616,011

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Solution

The third proportional to 281,323.50 and 616,011 is: 1,348,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,323.50 : 616,011 = 616,011 : x
  2. Step 2: Convert to fraction form
    281,323.50/616,011 = 616,011/x
  3. Step 3: Cross multiply
    281,323.50x = 616,011 × 616,011
  4. Step 4: Simplify right side
    281,323.50x = 379,469,552,121
  5. Step 5: Solve for x
    x = 379,469,552,121/281,323.50
  6. Step 6: Final answer
    x = 1,348,872.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.