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Finding the Third Proportional to 262,410 and 395,464.50

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Solution

The third proportional to 262,410 and 395,464.50 is: 595,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,410 : 395,464.50 = 395,464.50 : x
  2. Step 2: Convert to fraction form
    262,410/395,464.50 = 395,464.50/x
  3. Step 3: Cross multiply
    262,410x = 395,464.50 × 395,464.50
  4. Step 4: Simplify right side
    262,410x = 156,392,170,760.25
  5. Step 5: Solve for x
    x = 156,392,170,760.25/262,410
  6. Step 6: Final answer
    x = 595,984.04

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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.