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Finding the Third Proportional to 393,872 and 590,656

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Solution

The third proportional to 393,872 and 590,656 is: 885,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,872 : 590,656 = 590,656 : x
  2. Step 2: Convert to fraction form
    393,872/590,656 = 590,656/x
  3. Step 3: Cross multiply
    393,872x = 590,656 × 590,656
  4. Step 4: Simplify right side
    393,872x = 348,874,510,336
  5. Step 5: Solve for x
    x = 348,874,510,336/393,872
  6. Step 6: Final answer
    x = 885,756.06

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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.