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Finding the Third Proportional to 262,858.50 and 570,000.38

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Solution

The third proportional to 262,858.50 and 570,000.38 is: 1,236,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,858.50 : 570,000.38 = 570,000.38 : x
  2. Step 2: Convert to fraction form
    262,858.50/570,000.38 = 570,000.38/x
  3. Step 3: Cross multiply
    262,858.50x = 570,000.38 × 570,000.38
  4. Step 4: Simplify right side
    262,858.50x = 324,900,427,500.14
  5. Step 5: Solve for x
    x = 324,900,427,500.14/262,858.50
  6. Step 6: Final answer
    x = 1,236,027.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.