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Finding the Third Proportional to 503,016.75 and 761,028.75

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Solution

The third proportional to 503,016.75 and 761,028.75 is: 1,151,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,016.75 : 761,028.75 = 761,028.75 : x
  2. Step 2: Convert to fraction form
    503,016.75/761,028.75 = 761,028.75/x
  3. Step 3: Cross multiply
    503,016.75x = 761,028.75 × 761,028.75
  4. Step 4: Simplify right side
    503,016.75x = 579,164,758,326.56
  5. Step 5: Solve for x
    x = 579,164,758,326.56/503,016.75
  6. Step 6: Final answer
    x = 1,151,382.65

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