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Finding the Third Proportional to 286,682 and 444,807

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Solution

The third proportional to 286,682 and 444,807 is: 690,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,682 : 444,807 = 444,807 : x
  2. Step 2: Convert to fraction form
    286,682/444,807 = 444,807/x
  3. Step 3: Cross multiply
    286,682x = 444,807 × 444,807
  4. Step 4: Simplify right side
    286,682x = 197,853,267,249
  5. Step 5: Solve for x
    x = 197,853,267,249/286,682
  6. Step 6: Final answer
    x = 690,148.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.