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Finding the Third Proportional to 342,357 and 534,262

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Solution

The third proportional to 342,357 and 534,262 is: 833,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,357 : 534,262 = 534,262 : x
  2. Step 2: Convert to fraction form
    342,357/534,262 = 534,262/x
  3. Step 3: Cross multiply
    342,357x = 534,262 × 534,262
  4. Step 4: Simplify right side
    342,357x = 285,435,884,644
  5. Step 5: Solve for x
    x = 285,435,884,644/342,357
  6. Step 6: Final answer
    x = 833,737.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.