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Finding the Third Proportional to 274,893.75 and 596,764.13

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Solution

The third proportional to 274,893.75 and 596,764.13 is: 1,295,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,893.75 : 596,764.13 = 596,764.13 : x
  2. Step 2: Convert to fraction form
    274,893.75/596,764.13 = 596,764.13/x
  3. Step 3: Cross multiply
    274,893.75x = 596,764.13 × 596,764.13
  4. Step 4: Simplify right side
    274,893.75x = 356,127,420,887.02
  5. Step 5: Solve for x
    x = 356,127,420,887.02/274,893.75
  6. Step 6: Final answer
    x = 1,295,509.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.