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Finding the Third Proportional to 233,686 and 506,738

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Solution

The third proportional to 233,686 and 506,738 is: 1,098,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,686 : 506,738 = 506,738 : x
  2. Step 2: Convert to fraction form
    233,686/506,738 = 506,738/x
  3. Step 3: Cross multiply
    233,686x = 506,738 × 506,738
  4. Step 4: Simplify right side
    233,686x = 256,783,400,644
  5. Step 5: Solve for x
    x = 256,783,400,644/233,686
  6. Step 6: Final answer
    x = 1,098,839.47

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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.