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Finding the Third Proportional to 503,043 and 761,067

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Solution

The third proportional to 503,043 and 761,067 is: 1,151,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,043 : 761,067 = 761,067 : x
  2. Step 2: Convert to fraction form
    503,043/761,067 = 761,067/x
  3. Step 3: Cross multiply
    503,043x = 761,067 × 761,067
  4. Step 4: Simplify right side
    503,043x = 579,222,978,489
  5. Step 5: Solve for x
    x = 579,222,978,489/503,043
  6. Step 6: Final answer
    x = 1,151,438.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.