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Finding the Third Proportional to 233,775 and 511,290

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Solution

The third proportional to 233,775 and 511,290 is: 1,118,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,775 : 511,290 = 511,290 : x
  2. Step 2: Convert to fraction form
    233,775/511,290 = 511,290/x
  3. Step 3: Cross multiply
    233,775x = 511,290 × 511,290
  4. Step 4: Simplify right side
    233,775x = 261,417,464,100
  5. Step 5: Solve for x
    x = 261,417,464,100/233,775
  6. Step 6: Final answer
    x = 1,118,243.88

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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.