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Finding the Third Proportional to 678,088 and 996,108

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Solution

The third proportional to 678,088 and 996,108 is: 1,463,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,088 : 996,108 = 996,108 : x
  2. Step 2: Convert to fraction form
    678,088/996,108 = 996,108/x
  3. Step 3: Cross multiply
    678,088x = 996,108 × 996,108
  4. Step 4: Simplify right side
    678,088x = 992,231,147,664
  5. Step 5: Solve for x
    x = 992,231,147,664/678,088
  6. Step 6: Final answer
    x = 1,463,277.85

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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.