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Finding the Third Proportional to 342,848 and 522,973

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Solution

The third proportional to 342,848 and 522,973 is: 797,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,848 : 522,973 = 522,973 : x
  2. Step 2: Convert to fraction form
    342,848/522,973 = 522,973/x
  3. Step 3: Cross multiply
    342,848x = 522,973 × 522,973
  4. Step 4: Simplify right side
    342,848x = 273,500,758,729
  5. Step 5: Solve for x
    x = 273,500,758,729/342,848
  6. Step 6: Final answer
    x = 797,731.82

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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.