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Finding the Third Proportional to 397,518 and 594,703

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Solution

The third proportional to 397,518 and 594,703 is: 889,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,518 : 594,703 = 594,703 : x
  2. Step 2: Convert to fraction form
    397,518/594,703 = 594,703/x
  3. Step 3: Cross multiply
    397,518x = 594,703 × 594,703
  4. Step 4: Simplify right side
    397,518x = 353,671,658,209
  5. Step 5: Solve for x
    x = 353,671,658,209/397,518
  6. Step 6: Final answer
    x = 889,699.73

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