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Finding the Third Proportional to 296,638 and 614,305

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Solution

The third proportional to 296,638 and 614,305 is: 1,272,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,638 : 614,305 = 614,305 : x
  2. Step 2: Convert to fraction form
    296,638/614,305 = 614,305/x
  3. Step 3: Cross multiply
    296,638x = 614,305 × 614,305
  4. Step 4: Simplify right side
    296,638x = 377,370,633,025
  5. Step 5: Solve for x
    x = 377,370,633,025/296,638
  6. Step 6: Final answer
    x = 1,272,158.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.