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Finding the Third Proportional to 382,345 and 573,661

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Solution

The third proportional to 382,345 and 573,661 is: 860,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,345 : 573,661 = 573,661 : x
  2. Step 2: Convert to fraction form
    382,345/573,661 = 573,661/x
  3. Step 3: Cross multiply
    382,345x = 573,661 × 573,661
  4. Step 4: Simplify right side
    382,345x = 329,086,942,921
  5. Step 5: Solve for x
    x = 329,086,942,921/382,345
  6. Step 6: Final answer
    x = 860,706.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.