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Finding the Third Proportional to 451,733 and 665,108

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Solution

The third proportional to 451,733 and 665,108 is: 979,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,733 : 665,108 = 665,108 : x
  2. Step 2: Convert to fraction form
    451,733/665,108 = 665,108/x
  3. Step 3: Cross multiply
    451,733x = 665,108 × 665,108
  4. Step 4: Simplify right side
    451,733x = 442,368,651,664
  5. Step 5: Solve for x
    x = 442,368,651,664/451,733
  6. Step 6: Final answer
    x = 979,270.17

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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.