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Finding the Third Proportional to 393,784 and 590,548

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Solution

The third proportional to 393,784 and 590,548 is: 885,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,784 : 590,548 = 590,548 : x
  2. Step 2: Convert to fraction form
    393,784/590,548 = 590,548/x
  3. Step 3: Cross multiply
    393,784x = 590,548 × 590,548
  4. Step 4: Simplify right side
    393,784x = 348,746,940,304
  5. Step 5: Solve for x
    x = 348,746,940,304/393,784
  6. Step 6: Final answer
    x = 885,630.04

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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.