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Finding the Third Proportional to 511,546.13 and 711,258.75

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Solution

The third proportional to 511,546.13 and 711,258.75 is: 988,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,546.13 : 711,258.75 = 711,258.75 : x
  2. Step 2: Convert to fraction form
    511,546.13/711,258.75 = 711,258.75/x
  3. Step 3: Cross multiply
    511,546.13x = 711,258.75 × 711,258.75
  4. Step 4: Simplify right side
    511,546.13x = 505,889,009,451.56
  5. Step 5: Solve for x
    x = 505,889,009,451.56/511,546.13
  6. Step 6: Final answer
    x = 988,941.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.