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Finding the Third Proportional to 281,299.50 and 616,005

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Solution

The third proportional to 281,299.50 and 616,005 is: 1,348,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,299.50 : 616,005 = 616,005 : x
  2. Step 2: Convert to fraction form
    281,299.50/616,005 = 616,005/x
  3. Step 3: Cross multiply
    281,299.50x = 616,005 × 616,005
  4. Step 4: Simplify right side
    281,299.50x = 379,462,160,025
  5. Step 5: Solve for x
    x = 379,462,160,025/281,299.50
  6. Step 6: Final answer
    x = 1,348,961.37

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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.