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Finding the Third Proportional to 298,467 and 644,197.50

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Solution

The third proportional to 298,467 and 644,197.50 is: 1,390,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,467 : 644,197.50 = 644,197.50 : x
  2. Step 2: Convert to fraction form
    298,467/644,197.50 = 644,197.50/x
  3. Step 3: Cross multiply
    298,467x = 644,197.50 × 644,197.50
  4. Step 4: Simplify right side
    298,467x = 414,990,419,006.25
  5. Step 5: Solve for x
    x = 414,990,419,006.25/298,467
  6. Step 6: Final answer
    x = 1,390,406.37

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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.