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Finding the Third Proportional to 298,867.50 and 644,964

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Solution

The third proportional to 298,867.50 and 644,964 is: 1,391,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,867.50 : 644,964 = 644,964 : x
  2. Step 2: Convert to fraction form
    298,867.50/644,964 = 644,964/x
  3. Step 3: Cross multiply
    298,867.50x = 644,964 × 644,964
  4. Step 4: Simplify right side
    298,867.50x = 415,978,561,296
  5. Step 5: Solve for x
    x = 415,978,561,296/298,867.50
  6. Step 6: Final answer
    x = 1,391,849.44

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