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Finding the Third Proportional to 245,530 and 371,615

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Solution

The third proportional to 245,530 and 371,615 is: 562,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,530 : 371,615 = 371,615 : x
  2. Step 2: Convert to fraction form
    245,530/371,615 = 371,615/x
  3. Step 3: Cross multiply
    245,530x = 371,615 × 371,615
  4. Step 4: Simplify right side
    245,530x = 138,097,708,225
  5. Step 5: Solve for x
    x = 138,097,708,225/245,530
  6. Step 6: Final answer
    x = 562,447.39

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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.