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Finding the Third Proportional to 341,675.50 and 522,860.75

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Solution

The third proportional to 341,675.50 and 522,860.75 is: 800,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,675.50 : 522,860.75 = 522,860.75 : x
  2. Step 2: Convert to fraction form
    341,675.50/522,860.75 = 522,860.75/x
  3. Step 3: Cross multiply
    341,675.50x = 522,860.75 × 522,860.75
  4. Step 4: Simplify right side
    341,675.50x = 273,383,363,890.56
  5. Step 5: Solve for x
    x = 273,383,363,890.56/341,675.50
  6. Step 6: Final answer
    x = 800,125.74

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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.