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Finding the Third Proportional to 414,532 and 633,824

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Solution

The third proportional to 414,532 and 633,824 is: 969,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,532 : 633,824 = 633,824 : x
  2. Step 2: Convert to fraction form
    414,532/633,824 = 633,824/x
  3. Step 3: Cross multiply
    414,532x = 633,824 × 633,824
  4. Step 4: Simplify right side
    414,532x = 401,732,862,976
  5. Step 5: Solve for x
    x = 401,732,862,976/414,532
  6. Step 6: Final answer
    x = 969,123.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.