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Finding the Third Proportional to 199,694 and 427,468

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Solution

The third proportional to 199,694 and 427,468 is: 915,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,694 : 427,468 = 427,468 : x
  2. Step 2: Convert to fraction form
    199,694/427,468 = 427,468/x
  3. Step 3: Cross multiply
    199,694x = 427,468 × 427,468
  4. Step 4: Simplify right side
    199,694x = 182,728,891,024
  5. Step 5: Solve for x
    x = 182,728,891,024/199,694
  6. Step 6: Final answer
    x = 915,044.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.