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Finding the Third Proportional to 323,634 and 502,491

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Solution

The third proportional to 323,634 and 502,491 is: 780,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,634 : 502,491 = 502,491 : x
  2. Step 2: Convert to fraction form
    323,634/502,491 = 502,491/x
  3. Step 3: Cross multiply
    323,634x = 502,491 × 502,491
  4. Step 4: Simplify right side
    323,634x = 252,497,205,081
  5. Step 5: Solve for x
    x = 252,497,205,081/323,634
  6. Step 6: Final answer
    x = 780,193.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.