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Finding the Third Proportional to 553,171.78 and 834,846.12

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Solution

The third proportional to 553,171.78 and 834,846.12 is: 1,259,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,171.78 : 834,846.12 = 834,846.12 : x
  2. Step 2: Convert to fraction form
    553,171.78/834,846.12 = 834,846.12/x
  3. Step 3: Cross multiply
    553,171.78x = 834,846.12 × 834,846.12
  4. Step 4: Simplify right side
    553,171.78x = 696,968,039,383.05
  5. Step 5: Solve for x
    x = 696,968,039,383.05/553,171.78
  6. Step 6: Final answer
    x = 1,259,948.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.