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Finding the Third Proportional to 342,364 and 500,868

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Solution

The third proportional to 342,364 and 500,868 is: 732,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,364 : 500,868 = 500,868 : x
  2. Step 2: Convert to fraction form
    342,364/500,868 = 500,868/x
  3. Step 3: Cross multiply
    342,364x = 500,868 × 500,868
  4. Step 4: Simplify right side
    342,364x = 250,868,753,424
  5. Step 5: Solve for x
    x = 250,868,753,424/342,364
  6. Step 6: Final answer
    x = 732,754.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.