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Finding the Third Proportional to 397,359 and 594,477

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Solution

The third proportional to 397,359 and 594,477 is: 889,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,359 : 594,477 = 594,477 : x
  2. Step 2: Convert to fraction form
    397,359/594,477 = 594,477/x
  3. Step 3: Cross multiply
    397,359x = 594,477 × 594,477
  4. Step 4: Simplify right side
    397,359x = 353,402,903,529
  5. Step 5: Solve for x
    x = 353,402,903,529/397,359
  6. Step 6: Final answer
    x = 889,379.39

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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.