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Finding the Third Proportional to 414,038.75 and 887,099.50

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Solution

The third proportional to 414,038.75 and 887,099.50 is: 1,900,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,038.75 : 887,099.50 = 887,099.50 : x
  2. Step 2: Convert to fraction form
    414,038.75/887,099.50 = 887,099.50/x
  3. Step 3: Cross multiply
    414,038.75x = 887,099.50 × 887,099.50
  4. Step 4: Simplify right side
    414,038.75x = 786,945,522,900.25
  5. Step 5: Solve for x
    x = 786,945,522,900.25/414,038.75
  6. Step 6: Final answer
    x = 1,900,656.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.