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Finding the Third Proportional to 322,496 and 504,018

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Solution

The third proportional to 322,496 and 504,018 is: 787,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,496 : 504,018 = 504,018 : x
  2. Step 2: Convert to fraction form
    322,496/504,018 = 504,018/x
  3. Step 3: Cross multiply
    322,496x = 504,018 × 504,018
  4. Step 4: Simplify right side
    322,496x = 254,034,144,324
  5. Step 5: Solve for x
    x = 254,034,144,324/322,496
  6. Step 6: Final answer
    x = 787,712.54

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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.