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Finding the Third Proportional to 552,435.75 and 862,231.50

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Solution

The third proportional to 552,435.75 and 862,231.50 is: 1,345,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,435.75 : 862,231.50 = 862,231.50 : x
  2. Step 2: Convert to fraction form
    552,435.75/862,231.50 = 862,231.50/x
  3. Step 3: Cross multiply
    552,435.75x = 862,231.50 × 862,231.50
  4. Step 4: Simplify right side
    552,435.75x = 743,443,159,592.25
  5. Step 5: Solve for x
    x = 743,443,159,592.25/552,435.75
  6. Step 6: Final answer
    x = 1,345,754.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.