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Finding the Third Proportional to 233,643 and 511,512

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Solution

The third proportional to 233,643 and 511,512 is: 1,119,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,643 : 511,512 = 511,512 : x
  2. Step 2: Convert to fraction form
    233,643/511,512 = 511,512/x
  3. Step 3: Cross multiply
    233,643x = 511,512 × 511,512
  4. Step 4: Simplify right side
    233,643x = 261,644,526,144
  5. Step 5: Solve for x
    x = 261,644,526,144/233,643
  6. Step 6: Final answer
    x = 1,119,847.49

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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.