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Finding the Third Proportional to 414,778 and 888,304

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Solution

The third proportional to 414,778 and 888,304 is: 1,902,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,778 : 888,304 = 888,304 : x
  2. Step 2: Convert to fraction form
    414,778/888,304 = 888,304/x
  3. Step 3: Cross multiply
    414,778x = 888,304 × 888,304
  4. Step 4: Simplify right side
    414,778x = 789,083,996,416
  5. Step 5: Solve for x
    x = 789,083,996,416/414,778
  6. Step 6: Final answer
    x = 1,902,424.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.