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Finding the Third Proportional to 199,449 and 426,924

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Solution

The third proportional to 199,449 and 426,924 is: 913,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,449 : 426,924 = 426,924 : x
  2. Step 2: Convert to fraction form
    199,449/426,924 = 426,924/x
  3. Step 3: Cross multiply
    199,449x = 426,924 × 426,924
  4. Step 4: Simplify right side
    199,449x = 182,264,101,776
  5. Step 5: Solve for x
    x = 182,264,101,776/199,449
  6. Step 6: Final answer
    x = 913,838.13

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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.