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Finding the Third Proportional to 298,685 and 644,914

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Solution

The third proportional to 298,685 and 644,914 is: 1,392,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,685 : 644,914 = 644,914 : x
  2. Step 2: Convert to fraction form
    298,685/644,914 = 644,914/x
  3. Step 3: Cross multiply
    298,685x = 644,914 × 644,914
  4. Step 4: Simplify right side
    298,685x = 415,914,067,396
  5. Step 5: Solve for x
    x = 415,914,067,396/298,685
  6. Step 6: Final answer
    x = 1,392,483.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.