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Finding the Third Proportional to 535,067.25 and 733,710

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Solution

The third proportional to 535,067.25 and 733,710 is: 1,006,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,067.25 : 733,710 = 733,710 : x
  2. Step 2: Convert to fraction form
    535,067.25/733,710 = 733,710/x
  3. Step 3: Cross multiply
    535,067.25x = 733,710 × 733,710
  4. Step 4: Simplify right side
    535,067.25x = 538,330,364,100
  5. Step 5: Solve for x
    x = 538,330,364,100/535,067.25
  6. Step 6: Final answer
    x = 1,006,098.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.