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Finding the Third Proportional to 290,439.50 and 629,129

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Solution

The third proportional to 290,439.50 and 629,129 is: 1,362,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,439.50 : 629,129 = 629,129 : x
  2. Step 2: Convert to fraction form
    290,439.50/629,129 = 629,129/x
  3. Step 3: Cross multiply
    290,439.50x = 629,129 × 629,129
  4. Step 4: Simplify right side
    290,439.50x = 395,803,298,641
  5. Step 5: Solve for x
    x = 395,803,298,641/290,439.50
  6. Step 6: Final answer
    x = 1,362,773.65

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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.