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Finding the Third Proportional to 733,143 and 1,135,174.50

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Solution

The third proportional to 733,143 and 1,135,174.50 is: 1,757,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,143 : 1,135,174.50 = 1,135,174.50 : x
  2. Step 2: Convert to fraction form
    733,143/1,135,174.50 = 1,135,174.50/x
  3. Step 3: Cross multiply
    733,143x = 1,135,174.50 × 1,135,174.50
  4. Step 4: Simplify right side
    733,143x = 1,288,621,145,450.25
  5. Step 5: Solve for x
    x = 1,288,621,145,450.25/733,143
  6. Step 6: Final answer
    x = 1,757,666.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.