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Finding the Third Proportional to 290,454 and 629,157

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Solution

The third proportional to 290,454 and 629,157 is: 1,362,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,454 : 629,157 = 629,157 : x
  2. Step 2: Convert to fraction form
    290,454/629,157 = 629,157/x
  3. Step 3: Cross multiply
    290,454x = 629,157 × 629,157
  4. Step 4: Simplify right side
    290,454x = 395,838,530,649
  5. Step 5: Solve for x
    x = 395,838,530,649/290,454
  6. Step 6: Final answer
    x = 1,362,826.92

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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.