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Finding the Third Proportional to 393,768 and 590,532

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Solution

The third proportional to 393,768 and 590,532 is: 885,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,768 : 590,532 = 590,532 : x
  2. Step 2: Convert to fraction form
    393,768/590,532 = 590,532/x
  3. Step 3: Cross multiply
    393,768x = 590,532 × 590,532
  4. Step 4: Simplify right side
    393,768x = 348,728,043,024
  5. Step 5: Solve for x
    x = 348,728,043,024/393,768
  6. Step 6: Final answer
    x = 885,618.04

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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.