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Finding the Third Proportional to 511,524 and 802,467

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Solution

The third proportional to 511,524 and 802,467 is: 1,258,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,524 : 802,467 = 802,467 : x
  2. Step 2: Convert to fraction form
    511,524/802,467 = 802,467/x
  3. Step 3: Cross multiply
    511,524x = 802,467 × 802,467
  4. Step 4: Simplify right side
    511,524x = 643,953,286,089
  5. Step 5: Solve for x
    x = 643,953,286,089/511,524
  6. Step 6: Final answer
    x = 1,258,891.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.