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Finding the Third Proportional to 307,344 and 474,648

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Solution

The third proportional to 307,344 and 474,648 is: 733,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,344 : 474,648 = 474,648 : x
  2. Step 2: Convert to fraction form
    307,344/474,648 = 474,648/x
  3. Step 3: Cross multiply
    307,344x = 474,648 × 474,648
  4. Step 4: Simplify right side
    307,344x = 225,290,723,904
  5. Step 5: Solve for x
    x = 225,290,723,904/307,344
  6. Step 6: Final answer
    x = 733,024.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.