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Finding the Third Proportional to 512,303.06 and 764,297.44

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Solution

The third proportional to 512,303.06 and 764,297.44 is: 1,140,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,303.06 : 764,297.44 = 764,297.44 : x
  2. Step 2: Convert to fraction form
    512,303.06/764,297.44 = 764,297.44/x
  3. Step 3: Cross multiply
    512,303.06x = 764,297.44 × 764,297.44
  4. Step 4: Simplify right side
    512,303.06x = 584,150,572,969.07
  5. Step 5: Solve for x
    x = 584,150,572,969.07/512,303.06
  6. Step 6: Final answer
    x = 1,140,244.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.