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Finding the Third Proportional to 336,877 and 506,682

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Solution

The third proportional to 336,877 and 506,682 is: 762,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,877 : 506,682 = 506,682 : x
  2. Step 2: Convert to fraction form
    336,877/506,682 = 506,682/x
  3. Step 3: Cross multiply
    336,877x = 506,682 × 506,682
  4. Step 4: Simplify right side
    336,877x = 256,726,649,124
  5. Step 5: Solve for x
    x = 256,726,649,124/336,877
  6. Step 6: Final answer
    x = 762,078.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.