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Finding the Third Proportional to 276,258.09 and 595,024.31

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Solution

The third proportional to 276,258.09 and 595,024.31 is: 1,281,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,258.09 : 595,024.31 = 595,024.31 : x
  2. Step 2: Convert to fraction form
    276,258.09/595,024.31 = 595,024.31/x
  3. Step 3: Cross multiply
    276,258.09x = 595,024.31 × 595,024.31
  4. Step 4: Simplify right side
    276,258.09x = 354,053,932,466.10
  5. Step 5: Solve for x
    x = 354,053,932,466.10/276,258.09
  6. Step 6: Final answer
    x = 1,281,605.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.