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Finding the Third Proportional to 252,078 and 553,845

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Solution

The third proportional to 252,078 and 553,845 is: 1,216,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,078 : 553,845 = 553,845 : x
  2. Step 2: Convert to fraction form
    252,078/553,845 = 553,845/x
  3. Step 3: Cross multiply
    252,078x = 553,845 × 553,845
  4. Step 4: Simplify right side
    252,078x = 306,744,284,025
  5. Step 5: Solve for x
    x = 306,744,284,025/252,078
  6. Step 6: Final answer
    x = 1,216,862.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.