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Finding the Third Proportional to 341,666.44 and 522,849.94

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Solution

The third proportional to 341,666.44 and 522,849.94 is: 800,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,666.44 : 522,849.94 = 522,849.94 : x
  2. Step 2: Convert to fraction form
    341,666.44/522,849.94 = 522,849.94/x
  3. Step 3: Cross multiply
    341,666.44x = 522,849.94 × 522,849.94
  4. Step 4: Simplify right side
    341,666.44x = 273,372,057,143.75
  5. Step 5: Solve for x
    x = 273,372,057,143.75/341,666.44
  6. Step 6: Final answer
    x = 800,113.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.