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Finding the Third Proportional to 397,468 and 594,689

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Solution

The third proportional to 397,468 and 594,689 is: 889,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,468 : 594,689 = 594,689 : x
  2. Step 2: Convert to fraction form
    397,468/594,689 = 594,689/x
  3. Step 3: Cross multiply
    397,468x = 594,689 × 594,689
  4. Step 4: Simplify right side
    397,468x = 353,655,006,721
  5. Step 5: Solve for x
    x = 353,655,006,721/397,468
  6. Step 6: Final answer
    x = 889,769.76

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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.