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Finding the Third Proportional to 292,689 and 629,050

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Solution

The third proportional to 292,689 and 629,050 is: 1,351,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,689 : 629,050 = 629,050 : x
  2. Step 2: Convert to fraction form
    292,689/629,050 = 629,050/x
  3. Step 3: Cross multiply
    292,689x = 629,050 × 629,050
  4. Step 4: Simplify right side
    292,689x = 395,703,902,500
  5. Step 5: Solve for x
    x = 395,703,902,500/292,689
  6. Step 6: Final answer
    x = 1,351,960.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.