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Finding the Third Proportional to 371,286 and 597,825

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Solution

The third proportional to 371,286 and 597,825 is: 962,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,286 : 597,825 = 597,825 : x
  2. Step 2: Convert to fraction form
    371,286/597,825 = 597,825/x
  3. Step 3: Cross multiply
    371,286x = 597,825 × 597,825
  4. Step 4: Simplify right side
    371,286x = 357,394,730,625
  5. Step 5: Solve for x
    x = 357,394,730,625/371,286
  6. Step 6: Final answer
    x = 962,586.07

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.