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Finding the Third Proportional to 395,608 and 584,718

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Solution

The third proportional to 395,608 and 584,718 is: 864,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,608 : 584,718 = 584,718 : x
  2. Step 2: Convert to fraction form
    395,608/584,718 = 584,718/x
  3. Step 3: Cross multiply
    395,608x = 584,718 × 584,718
  4. Step 4: Simplify right side
    395,608x = 341,895,139,524
  5. Step 5: Solve for x
    x = 341,895,139,524/395,608
  6. Step 6: Final answer
    x = 864,227.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.