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Finding the Third Proportional to 502,263.28 and 1,185,419.81

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Solution

The third proportional to 502,263.28 and 1,185,419.81 is: 2,797,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,263.28 : 1,185,419.81 = 1,185,419.81 : x
  2. Step 2: Convert to fraction form
    502,263.28/1,185,419.81 = 1,185,419.81/x
  3. Step 3: Cross multiply
    502,263.28x = 1,185,419.81 × 1,185,419.81
  4. Step 4: Simplify right side
    502,263.28x = 1,405,220,131,867.54
  5. Step 5: Solve for x
    x = 1,405,220,131,867.54/502,263.28
  6. Step 6: Final answer
    x = 2,797,775.96

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.