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Finding the Third Proportional to 331,638.75 and 710,592.75

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Solution

The third proportional to 331,638.75 and 710,592.75 is: 1,522,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,638.75 : 710,592.75 = 710,592.75 : x
  2. Step 2: Convert to fraction form
    331,638.75/710,592.75 = 710,592.75/x
  3. Step 3: Cross multiply
    331,638.75x = 710,592.75 × 710,592.75
  4. Step 4: Simplify right side
    331,638.75x = 504,942,056,352.56
  5. Step 5: Solve for x
    x = 504,942,056,352.56/331,638.75
  6. Step 6: Final answer
    x = 1,522,566.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.