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Finding the Third Proportional to 383,768 and 814,304

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Solution

The third proportional to 383,768 and 814,304 is: 1,727,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,768 : 814,304 = 814,304 : x
  2. Step 2: Convert to fraction form
    383,768/814,304 = 814,304/x
  3. Step 3: Cross multiply
    383,768x = 814,304 × 814,304
  4. Step 4: Simplify right side
    383,768x = 663,091,004,416
  5. Step 5: Solve for x
    x = 663,091,004,416/383,768
  6. Step 6: Final answer
    x = 1,727,843.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.