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Finding the Third Proportional to 341,650.41 and 522,829.69

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Solution

The third proportional to 341,650.41 and 522,829.69 is: 800,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,650.41 : 522,829.69 = 522,829.69 : x
  2. Step 2: Convert to fraction form
    341,650.41/522,829.69 = 522,829.69/x
  3. Step 3: Cross multiply
    341,650.41x = 522,829.69 × 522,829.69
  4. Step 4: Simplify right side
    341,650.41x = 273,350,882,131.35
  5. Step 5: Solve for x
    x = 273,350,882,131.35/341,650.41
  6. Step 6: Final answer
    x = 800,089.44

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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.