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Finding the Third Proportional to 393,837 and 611,006

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Solution

The third proportional to 393,837 and 611,006 is: 947,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,837 : 611,006 = 611,006 : x
  2. Step 2: Convert to fraction form
    393,837/611,006 = 611,006/x
  3. Step 3: Cross multiply
    393,837x = 611,006 × 611,006
  4. Step 4: Simplify right side
    393,837x = 373,328,332,036
  5. Step 5: Solve for x
    x = 373,328,332,036/393,837
  6. Step 6: Final answer
    x = 947,926.00

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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.