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Finding the Third Proportional to 303,035.63 and 451,924.88

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Solution

The third proportional to 303,035.63 and 451,924.88 is: 673,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,035.63 : 451,924.88 = 451,924.88 : x
  2. Step 2: Convert to fraction form
    303,035.63/451,924.88 = 451,924.88/x
  3. Step 3: Cross multiply
    303,035.63x = 451,924.88 × 451,924.88
  4. Step 4: Simplify right side
    303,035.63x = 204,236,092,643.77
  5. Step 5: Solve for x
    x = 204,236,092,643.77/303,035.63
  6. Step 6: Final answer
    x = 673,967.27

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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.