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Finding the Third Proportional to 233,307 and 511,809.75

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Solution

The third proportional to 233,307 and 511,809.75 is: 1,122,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307 : 511,809.75 = 511,809.75 : x
  2. Step 2: Convert to fraction form
    233,307/511,809.75 = 511,809.75/x
  3. Step 3: Cross multiply
    233,307x = 511,809.75 × 511,809.75
  4. Step 4: Simplify right side
    233,307x = 261,949,220,195.06
  5. Step 5: Solve for x
    x = 261,949,220,195.06/233,307
  6. Step 6: Final answer
    x = 1,122,766.23

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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.