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Finding the Third Proportional to 304,551.75 and 662,847

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Solution

The third proportional to 304,551.75 and 662,847 is: 1,442,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,551.75 : 662,847 = 662,847 : x
  2. Step 2: Convert to fraction form
    304,551.75/662,847 = 662,847/x
  3. Step 3: Cross multiply
    304,551.75x = 662,847 × 662,847
  4. Step 4: Simplify right side
    304,551.75x = 439,366,145,409
  5. Step 5: Solve for x
    x = 439,366,145,409/304,551.75
  6. Step 6: Final answer
    x = 1,442,664.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.