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Finding the Third Proportional to 233,771 and 511,282

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Solution

The third proportional to 233,771 and 511,282 is: 1,118,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,771 : 511,282 = 511,282 : x
  2. Step 2: Convert to fraction form
    233,771/511,282 = 511,282/x
  3. Step 3: Cross multiply
    233,771x = 511,282 × 511,282
  4. Step 4: Simplify right side
    233,771x = 261,409,283,524
  5. Step 5: Solve for x
    x = 261,409,283,524/233,771
  6. Step 6: Final answer
    x = 1,118,228.02

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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.