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Finding the Third Proportional to 281,694.75 and 596,910.38

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Solution

The third proportional to 281,694.75 and 596,910.38 is: 1,264,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,694.75 : 596,910.38 = 596,910.38 : x
  2. Step 2: Convert to fraction form
    281,694.75/596,910.38 = 596,910.38/x
  3. Step 3: Cross multiply
    281,694.75x = 596,910.38 × 596,910.38
  4. Step 4: Simplify right side
    281,694.75x = 356,301,995,782.64
  5. Step 5: Solve for x
    x = 356,301,995,782.64/281,694.75
  6. Step 6: Final answer
    x = 1,264,851.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.