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Finding the Third Proportional to 307,717 and 451,591.13

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Solution

The third proportional to 307,717 and 451,591.13 is: 662,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,717 : 451,591.13 = 451,591.13 : x
  2. Step 2: Convert to fraction form
    307,717/451,591.13 = 451,591.13/x
  3. Step 3: Cross multiply
    307,717x = 451,591.13 × 451,591.13
  4. Step 4: Simplify right side
    307,717x = 203,934,544,178.77
  5. Step 5: Solve for x
    x = 203,934,544,178.77/307,717
  6. Step 6: Final answer
    x = 662,734.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.