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Finding the Third Proportional to 411,718 and 594,610

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Solution

The third proportional to 411,718 and 594,610 is: 858,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,718 : 594,610 = 594,610 : x
  2. Step 2: Convert to fraction form
    411,718/594,610 = 594,610/x
  3. Step 3: Cross multiply
    411,718x = 594,610 × 594,610
  4. Step 4: Simplify right side
    411,718x = 353,561,052,100
  5. Step 5: Solve for x
    x = 353,561,052,100/411,718
  6. Step 6: Final answer
    x = 858,745.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.