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Finding the Third Proportional to 274,178 and 635,333

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Solution

The third proportional to 274,178 and 635,333 is: 1,472,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,178 : 635,333 = 635,333 : x
  2. Step 2: Convert to fraction form
    274,178/635,333 = 635,333/x
  3. Step 3: Cross multiply
    274,178x = 635,333 × 635,333
  4. Step 4: Simplify right side
    274,178x = 403,648,020,889
  5. Step 5: Solve for x
    x = 403,648,020,889/274,178
  6. Step 6: Final answer
    x = 1,472,211.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.