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Finding the Third Proportional to 290,499 and 629,235

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Solution

The third proportional to 290,499 and 629,235 is: 1,362,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,499 : 629,235 = 629,235 : x
  2. Step 2: Convert to fraction form
    290,499/629,235 = 629,235/x
  3. Step 3: Cross multiply
    290,499x = 629,235 × 629,235
  4. Step 4: Simplify right side
    290,499x = 395,936,685,225
  5. Step 5: Solve for x
    x = 395,936,685,225/290,499
  6. Step 6: Final answer
    x = 1,362,953.69

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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.