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Finding the Third Proportional to 395,610 and 584,721

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Solution

The third proportional to 395,610 and 584,721 is: 864,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,610 : 584,721 = 584,721 : x
  2. Step 2: Convert to fraction form
    395,610/584,721 = 584,721/x
  3. Step 3: Cross multiply
    395,610x = 584,721 × 584,721
  4. Step 4: Simplify right side
    395,610x = 341,898,647,841
  5. Step 5: Solve for x
    x = 341,898,647,841/395,610
  6. Step 6: Final answer
    x = 864,231.56

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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.