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Finding the Third Proportional to 422,865 and 579,864

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Solution

The third proportional to 422,865 and 579,864 is: 795,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,865 : 579,864 = 579,864 : x
  2. Step 2: Convert to fraction form
    422,865/579,864 = 579,864/x
  3. Step 3: Cross multiply
    422,865x = 579,864 × 579,864
  4. Step 4: Simplify right side
    422,865x = 336,242,258,496
  5. Step 5: Solve for x
    x = 336,242,258,496/422,865
  6. Step 6: Final answer
    x = 795,152.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.