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Finding the Third Proportional to 382,592 and 561,600

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Solution

The third proportional to 382,592 and 561,600 is: 824,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,592 : 561,600 = 561,600 : x
  2. Step 2: Convert to fraction form
    382,592/561,600 = 561,600/x
  3. Step 3: Cross multiply
    382,592x = 561,600 × 561,600
  4. Step 4: Simplify right side
    382,592x = 315,394,560,000
  5. Step 5: Solve for x
    x = 315,394,560,000/382,592
  6. Step 6: Final answer
    x = 824,362.66

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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.