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Finding the Third Proportional to 274,866 and 596,732

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Solution

The third proportional to 274,866 and 596,732 is: 1,295,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,866 : 596,732 = 596,732 : x
  2. Step 2: Convert to fraction form
    274,866/596,732 = 596,732/x
  3. Step 3: Cross multiply
    274,866x = 596,732 × 596,732
  4. Step 4: Simplify right side
    274,866x = 356,089,079,824
  5. Step 5: Solve for x
    x = 356,089,079,824/274,866
  6. Step 6: Final answer
    x = 1,295,500.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.