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Finding the Third Proportional to 451,750 and 665,133

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Solution

The third proportional to 451,750 and 665,133 is: 979,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,750 : 665,133 = 665,133 : x
  2. Step 2: Convert to fraction form
    451,750/665,133 = 665,133/x
  3. Step 3: Cross multiply
    451,750x = 665,133 × 665,133
  4. Step 4: Simplify right side
    451,750x = 442,401,907,689
  5. Step 5: Solve for x
    x = 442,401,907,689/451,750
  6. Step 6: Final answer
    x = 979,306.93

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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.