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Finding the Third Proportional to 382,568 and 561,564

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Solution

The third proportional to 382,568 and 561,564 is: 824,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,568 : 561,564 = 561,564 : x
  2. Step 2: Convert to fraction form
    382,568/561,564 = 561,564/x
  3. Step 3: Cross multiply
    382,568x = 561,564 × 561,564
  4. Step 4: Simplify right side
    382,568x = 315,354,126,096
  5. Step 5: Solve for x
    x = 315,354,126,096/382,568
  6. Step 6: Final answer
    x = 824,308.69

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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.