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Finding the Third Proportional to 368,450 and 563,367

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Solution

The third proportional to 368,450 and 563,367 is: 861,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,450 : 563,367 = 563,367 : x
  2. Step 2: Convert to fraction form
    368,450/563,367 = 563,367/x
  3. Step 3: Cross multiply
    368,450x = 563,367 × 563,367
  4. Step 4: Simplify right side
    368,450x = 317,382,376,689
  5. Step 5: Solve for x
    x = 317,382,376,689/368,450
  6. Step 6: Final answer
    x = 861,398.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.