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Finding the Third Proportional to 393,922 and 573,662

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Solution

The third proportional to 393,922 and 573,662 is: 835,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,922 : 573,662 = 573,662 : x
  2. Step 2: Convert to fraction form
    393,922/573,662 = 573,662/x
  3. Step 3: Cross multiply
    393,922x = 573,662 × 573,662
  4. Step 4: Simplify right side
    393,922x = 329,088,090,244
  5. Step 5: Solve for x
    x = 329,088,090,244/393,922
  6. Step 6: Final answer
    x = 835,414.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.