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Finding the Third Proportional to 290,487 and 629,226

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Solution

The third proportional to 290,487 and 629,226 is: 1,362,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,487 : 629,226 = 629,226 : x
  2. Step 2: Convert to fraction form
    290,487/629,226 = 629,226/x
  3. Step 3: Cross multiply
    290,487x = 629,226 × 629,226
  4. Step 4: Simplify right side
    290,487x = 395,925,359,076
  5. Step 5: Solve for x
    x = 395,925,359,076/290,487
  6. Step 6: Final answer
    x = 1,362,971.01

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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.