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Finding the Third Proportional to 255,940 and 597,910

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Solution

The third proportional to 255,940 and 597,910 is: 1,396,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,940 : 597,910 = 597,910 : x
  2. Step 2: Convert to fraction form
    255,940/597,910 = 597,910/x
  3. Step 3: Cross multiply
    255,940x = 597,910 × 597,910
  4. Step 4: Simplify right side
    255,940x = 357,496,368,100
  5. Step 5: Solve for x
    x = 357,496,368,100/255,940
  6. Step 6: Final answer
    x = 1,396,797.56

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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.