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Finding the Third Proportional to 244,394.72 and 511,134.47

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Solution

The third proportional to 244,394.72 and 511,134.47 is: 1,069,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,394.72 : 511,134.47 = 511,134.47 : x
  2. Step 2: Convert to fraction form
    244,394.72/511,134.47 = 511,134.47/x
  3. Step 3: Cross multiply
    244,394.72x = 511,134.47 × 511,134.47
  4. Step 4: Simplify right side
    244,394.72x = 261,258,445,144.35
  5. Step 5: Solve for x
    x = 261,258,445,144.35/244,394.72
  6. Step 6: Final answer
    x = 1,069,002.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.