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Finding the Third Proportional to 273,924 and 555,381

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Solution

The third proportional to 273,924 and 555,381 is: 1,126,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,924 : 555,381 = 555,381 : x
  2. Step 2: Convert to fraction form
    273,924/555,381 = 555,381/x
  3. Step 3: Cross multiply
    273,924x = 555,381 × 555,381
  4. Step 4: Simplify right side
    273,924x = 308,448,055,161
  5. Step 5: Solve for x
    x = 308,448,055,161/273,924
  6. Step 6: Final answer
    x = 1,126,035.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.