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Finding the Third Proportional to 397,466 and 594,686

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Solution

The third proportional to 397,466 and 594,686 is: 889,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,466 : 594,686 = 594,686 : x
  2. Step 2: Convert to fraction form
    397,466/594,686 = 594,686/x
  3. Step 3: Cross multiply
    397,466x = 594,686 × 594,686
  4. Step 4: Simplify right side
    397,466x = 353,651,438,596
  5. Step 5: Solve for x
    x = 353,651,438,596/397,466
  6. Step 6: Final answer
    x = 889,765.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.