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Finding the Third Proportional to 255,434 and 386,697

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Solution

The third proportional to 255,434 and 386,697 is: 585,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,434 : 386,697 = 386,697 : x
  2. Step 2: Convert to fraction form
    255,434/386,697 = 386,697/x
  3. Step 3: Cross multiply
    255,434x = 386,697 × 386,697
  4. Step 4: Simplify right side
    255,434x = 149,534,569,809
  5. Step 5: Solve for x
    x = 149,534,569,809/255,434
  6. Step 6: Final answer
    x = 585,413.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.