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Finding the Third Proportional to 233,722 and 511,913

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Solution

The third proportional to 233,722 and 511,913 is: 1,121,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,722 : 511,913 = 511,913 : x
  2. Step 2: Convert to fraction form
    233,722/511,913 = 511,913/x
  3. Step 3: Cross multiply
    233,722x = 511,913 × 511,913
  4. Step 4: Simplify right side
    233,722x = 262,054,919,569
  5. Step 5: Solve for x
    x = 262,054,919,569/233,722
  6. Step 6: Final answer
    x = 1,121,224.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.