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Finding the Third Proportional to 251,574.75 and 547,435.69

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Solution

The third proportional to 251,574.75 and 547,435.69 is: 1,191,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,574.75 : 547,435.69 = 547,435.69 : x
  2. Step 2: Convert to fraction form
    251,574.75/547,435.69 = 547,435.69/x
  3. Step 3: Cross multiply
    251,574.75x = 547,435.69 × 547,435.69
  4. Step 4: Simplify right side
    251,574.75x = 299,685,831,948.60
  5. Step 5: Solve for x
    x = 299,685,831,948.60/251,574.75
  6. Step 6: Final answer
    x = 1,191,239.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.