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Finding the Third Proportional to 393,771 and 590,528

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Solution

The third proportional to 393,771 and 590,528 is: 885,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,771 : 590,528 = 590,528 : x
  2. Step 2: Convert to fraction form
    393,771/590,528 = 590,528/x
  3. Step 3: Cross multiply
    393,771x = 590,528 × 590,528
  4. Step 4: Simplify right side
    393,771x = 348,723,318,784
  5. Step 5: Solve for x
    x = 348,723,318,784/393,771
  6. Step 6: Final answer
    x = 885,599.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.