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Finding the Third Proportional to 523,815.75 and 1,150,506

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Solution

The third proportional to 523,815.75 and 1,150,506 is: 2,526,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,815.75 : 1,150,506 = 1,150,506 : x
  2. Step 2: Convert to fraction form
    523,815.75/1,150,506 = 1,150,506/x
  3. Step 3: Cross multiply
    523,815.75x = 1,150,506 × 1,150,506
  4. Step 4: Simplify right side
    523,815.75x = 1,323,664,056,036
  5. Step 5: Solve for x
    x = 1,323,664,056,036/523,815.75
  6. Step 6: Final answer
    x = 2,526,964.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.