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Finding the Third Proportional to 297,232 and 644,250

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Solution

The third proportional to 297,232 and 644,250 is: 1,396,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,232 : 644,250 = 644,250 : x
  2. Step 2: Convert to fraction form
    297,232/644,250 = 644,250/x
  3. Step 3: Cross multiply
    297,232x = 644,250 × 644,250
  4. Step 4: Simplify right side
    297,232x = 415,058,062,500
  5. Step 5: Solve for x
    x = 415,058,062,500/297,232
  6. Step 6: Final answer
    x = 1,396,411.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.