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Finding the Third Proportional to 240,338 and 511,732

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Solution

The third proportional to 240,338 and 511,732 is: 1,089,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,338 : 511,732 = 511,732 : x
  2. Step 2: Convert to fraction form
    240,338/511,732 = 511,732/x
  3. Step 3: Cross multiply
    240,338x = 511,732 × 511,732
  4. Step 4: Simplify right side
    240,338x = 261,869,639,824
  5. Step 5: Solve for x
    x = 261,869,639,824/240,338
  6. Step 6: Final answer
    x = 1,089,588.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.