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Finding the Third Proportional to 741,658.50 and 1,588,293

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Solution

The third proportional to 741,658.50 and 1,588,293 is: 3,401,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,658.50 : 1,588,293 = 1,588,293 : x
  2. Step 2: Convert to fraction form
    741,658.50/1,588,293 = 1,588,293/x
  3. Step 3: Cross multiply
    741,658.50x = 1,588,293 × 1,588,293
  4. Step 4: Simplify right side
    741,658.50x = 2,522,674,653,849
  5. Step 5: Solve for x
    x = 2,522,674,653,849/741,658.50
  6. Step 6: Final answer
    x = 3,401,396.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.