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Finding the Third Proportional to 233,820 and 511,392

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Solution

The third proportional to 233,820 and 511,392 is: 1,118,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,820 : 511,392 = 511,392 : x
  2. Step 2: Convert to fraction form
    233,820/511,392 = 511,392/x
  3. Step 3: Cross multiply
    233,820x = 511,392 × 511,392
  4. Step 4: Simplify right side
    233,820x = 261,521,777,664
  5. Step 5: Solve for x
    x = 261,521,777,664/233,820
  6. Step 6: Final answer
    x = 1,118,474.80

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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.