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Finding the Third Proportional to 426,002.50 and 911,847.50

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Solution

The third proportional to 426,002.50 and 911,847.50 is: 1,951,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,002.50 : 911,847.50 = 911,847.50 : x
  2. Step 2: Convert to fraction form
    426,002.50/911,847.50 = 911,847.50/x
  3. Step 3: Cross multiply
    426,002.50x = 911,847.50 × 911,847.50
  4. Step 4: Simplify right side
    426,002.50x = 831,465,863,256.25
  5. Step 5: Solve for x
    x = 831,465,863,256.25/426,002.50
  6. Step 6: Final answer
    x = 1,951,786.35

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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.