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Finding the Third Proportional to 290,437.50 and 629,126

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Solution

The third proportional to 290,437.50 and 629,126 is: 1,362,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,437.50 : 629,126 = 629,126 : x
  2. Step 2: Convert to fraction form
    290,437.50/629,126 = 629,126/x
  3. Step 3: Cross multiply
    290,437.50x = 629,126 × 629,126
  4. Step 4: Simplify right side
    290,437.50x = 395,799,523,876
  5. Step 5: Solve for x
    x = 395,799,523,876/290,437.50
  6. Step 6: Final answer
    x = 1,362,770.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.