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Finding the Third Proportional to 323,435 and 504,836

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Solution

The third proportional to 323,435 and 504,836 is: 787,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,435 : 504,836 = 504,836 : x
  2. Step 2: Convert to fraction form
    323,435/504,836 = 504,836/x
  3. Step 3: Cross multiply
    323,435x = 504,836 × 504,836
  4. Step 4: Simplify right side
    323,435x = 254,859,386,896
  5. Step 5: Solve for x
    x = 254,859,386,896/323,435
  6. Step 6: Final answer
    x = 787,977.14

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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.