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Finding the Third Proportional to 383,110 and 563,544

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Solution

The third proportional to 383,110 and 563,544 is: 828,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,110 : 563,544 = 563,544 : x
  2. Step 2: Convert to fraction form
    383,110/563,544 = 563,544/x
  3. Step 3: Cross multiply
    383,110x = 563,544 × 563,544
  4. Step 4: Simplify right side
    383,110x = 317,581,839,936
  5. Step 5: Solve for x
    x = 317,581,839,936/383,110
  6. Step 6: Final answer
    x = 828,957.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.