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Finding the Third Proportional to 678,336 and 996,704

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Solution

The third proportional to 678,336 and 996,704 is: 1,464,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,336 : 996,704 = 996,704 : x
  2. Step 2: Convert to fraction form
    678,336/996,704 = 996,704/x
  3. Step 3: Cross multiply
    678,336x = 996,704 × 996,704
  4. Step 4: Simplify right side
    678,336x = 993,418,863,616
  5. Step 5: Solve for x
    x = 993,418,863,616/678,336
  6. Step 6: Final answer
    x = 1,464,493.80

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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.