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Finding the Third Proportional to 731,045.25 and 1,520,592.75

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Solution

The third proportional to 731,045.25 and 1,520,592.75 is: 3,162,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,045.25 : 1,520,592.75 = 1,520,592.75 : x
  2. Step 2: Convert to fraction form
    731,045.25/1,520,592.75 = 1,520,592.75/x
  3. Step 3: Cross multiply
    731,045.25x = 1,520,592.75 × 1,520,592.75
  4. Step 4: Simplify right side
    731,045.25x = 2,312,202,311,352.56
  5. Step 5: Solve for x
    x = 2,312,202,311,352.56/731,045.25
  6. Step 6: Final answer
    x = 3,162,871.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.