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Finding the Third Proportional to 290,488.50 and 629,216.50

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Solution

The third proportional to 290,488.50 and 629,216.50 is: 1,362,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,488.50 : 629,216.50 = 629,216.50 : x
  2. Step 2: Convert to fraction form
    290,488.50/629,216.50 = 629,216.50/x
  3. Step 3: Cross multiply
    290,488.50x = 629,216.50 × 629,216.50
  4. Step 4: Simplify right side
    290,488.50x = 395,913,403,872.25
  5. Step 5: Solve for x
    x = 395,913,403,872.25/290,488.50
  6. Step 6: Final answer
    x = 1,362,922.81

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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.