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Finding the Third Proportional to 393,682 and 610,755

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Solution

The third proportional to 393,682 and 610,755 is: 947,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,682 : 610,755 = 610,755 : x
  2. Step 2: Convert to fraction form
    393,682/610,755 = 610,755/x
  3. Step 3: Cross multiply
    393,682x = 610,755 × 610,755
  4. Step 4: Simplify right side
    393,682x = 373,021,670,025
  5. Step 5: Solve for x
    x = 373,021,670,025/393,682
  6. Step 6: Final answer
    x = 947,520.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.