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Finding the Third Proportional to 386,690 and 597,571

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Solution

The third proportional to 386,690 and 597,571 is: 923,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,690 : 597,571 = 597,571 : x
  2. Step 2: Convert to fraction form
    386,690/597,571 = 597,571/x
  3. Step 3: Cross multiply
    386,690x = 597,571 × 597,571
  4. Step 4: Simplify right side
    386,690x = 357,091,100,041
  5. Step 5: Solve for x
    x = 357,091,100,041/386,690
  6. Step 6: Final answer
    x = 923,455.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.