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Finding the Third Proportional to 734,000.25 and 1,612,342.50

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Solution

The third proportional to 734,000.25 and 1,612,342.50 is: 3,541,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,000.25 : 1,612,342.50 = 1,612,342.50 : x
  2. Step 2: Convert to fraction form
    734,000.25/1,612,342.50 = 1,612,342.50/x
  3. Step 3: Cross multiply
    734,000.25x = 1,612,342.50 × 1,612,342.50
  4. Step 4: Simplify right side
    734,000.25x = 2,599,648,337,306.25
  5. Step 5: Solve for x
    x = 2,599,648,337,306.25/734,000.25
  6. Step 6: Final answer
    x = 3,541,754.02

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Why These Related Problems?

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