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Finding the Third Proportional to 304,951.16 and 644,233.66

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Solution

The third proportional to 304,951.16 and 644,233.66 is: 1,360,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,951.16 : 644,233.66 = 644,233.66 : x
  2. Step 2: Convert to fraction form
    304,951.16/644,233.66 = 644,233.66/x
  3. Step 3: Cross multiply
    304,951.16x = 644,233.66 × 644,233.66
  4. Step 4: Simplify right side
    304,951.16x = 415,037,006,361.75
  5. Step 5: Solve for x
    x = 415,037,006,361.75/304,951.16
  6. Step 6: Final answer
    x = 1,360,995.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.