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Finding the Third Proportional to 255,939 and 597,906

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Solution

The third proportional to 255,939 and 597,906 is: 1,396,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,939 : 597,906 = 597,906 : x
  2. Step 2: Convert to fraction form
    255,939/597,906 = 597,906/x
  3. Step 3: Cross multiply
    255,939x = 597,906 × 597,906
  4. Step 4: Simplify right side
    255,939x = 357,491,584,836
  5. Step 5: Solve for x
    x = 357,491,584,836/255,939
  6. Step 6: Final answer
    x = 1,396,784.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.