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Finding the Third Proportional to 233,740 and 511,944

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Solution

The third proportional to 233,740 and 511,944 is: 1,121,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,740 : 511,944 = 511,944 : x
  2. Step 2: Convert to fraction form
    233,740/511,944 = 511,944/x
  3. Step 3: Cross multiply
    233,740x = 511,944 × 511,944
  4. Step 4: Simplify right side
    233,740x = 262,086,659,136
  5. Step 5: Solve for x
    x = 262,086,659,136/233,740
  6. Step 6: Final answer
    x = 1,121,274.32

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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.