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Finding the Third Proportional to 500,233.50 and 1,097,689.50

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Solution

The third proportional to 500,233.50 and 1,097,689.50 is: 2,408,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,233.50 : 1,097,689.50 = 1,097,689.50 : x
  2. Step 2: Convert to fraction form
    500,233.50/1,097,689.50 = 1,097,689.50/x
  3. Step 3: Cross multiply
    500,233.50x = 1,097,689.50 × 1,097,689.50
  4. Step 4: Simplify right side
    500,233.50x = 1,204,922,238,410.25
  5. Step 5: Solve for x
    x = 1,204,922,238,410.25/500,233.50
  6. Step 6: Final answer
    x = 2,408,719.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.