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Finding the Third Proportional to 286,621 and 622,327

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Solution

The third proportional to 286,621 and 622,327 is: 1,351,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,621 : 622,327 = 622,327 : x
  2. Step 2: Convert to fraction form
    286,621/622,327 = 622,327/x
  3. Step 3: Cross multiply
    286,621x = 622,327 × 622,327
  4. Step 4: Simplify right side
    286,621x = 387,290,894,929
  5. Step 5: Solve for x
    x = 387,290,894,929/286,621
  6. Step 6: Final answer
    x = 1,351,230.00

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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.