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Finding the Third Proportional to 298,634 and 644,774

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Solution

The third proportional to 298,634 and 644,774 is: 1,392,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,634 : 644,774 = 644,774 : x
  2. Step 2: Convert to fraction form
    298,634/644,774 = 644,774/x
  3. Step 3: Cross multiply
    298,634x = 644,774 × 644,774
  4. Step 4: Simplify right side
    298,634x = 415,733,511,076
  5. Step 5: Solve for x
    x = 415,733,511,076/298,634
  6. Step 6: Final answer
    x = 1,392,117.14

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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.