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Finding the Third Proportional to 269,057.25 and 590,594.63

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Solution

The third proportional to 269,057.25 and 590,594.63 is: 1,296,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,057.25 : 590,594.63 = 590,594.63 : x
  2. Step 2: Convert to fraction form
    269,057.25/590,594.63 = 590,594.63/x
  3. Step 3: Cross multiply
    269,057.25x = 590,594.63 × 590,594.63
  4. Step 4: Simplify right side
    269,057.25x = 348,802,011,078.89
  5. Step 5: Solve for x
    x = 348,802,011,078.89/269,057.25
  6. Step 6: Final answer
    x = 1,296,385.85

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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.