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Finding the Third Proportional to 269,380.69 and 583,579.69

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Solution

The third proportional to 269,380.69 and 583,579.69 is: 1,264,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,380.69 : 583,579.69 = 583,579.69 : x
  2. Step 2: Convert to fraction form
    269,380.69/583,579.69 = 583,579.69/x
  3. Step 3: Cross multiply
    269,380.69x = 583,579.69 × 583,579.69
  4. Step 4: Simplify right side
    269,380.69x = 340,565,251,662.60
  5. Step 5: Solve for x
    x = 340,565,251,662.60/269,380.69
  6. Step 6: Final answer
    x = 1,264,252.66

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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.