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Finding the Third Proportional to 342,846 and 522,969.75

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Solution

The third proportional to 342,846 and 522,969.75 is: 797,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,846 : 522,969.75 = 522,969.75 : x
  2. Step 2: Convert to fraction form
    342,846/522,969.75 = 522,969.75/x
  3. Step 3: Cross multiply
    342,846x = 522,969.75 × 522,969.75
  4. Step 4: Simplify right side
    342,846x = 273,497,359,415.06
  5. Step 5: Solve for x
    x = 273,497,359,415.06/342,846
  6. Step 6: Final answer
    x = 797,726.56

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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.