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Finding the Third Proportional to 255,723 and 538,407

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Solution

The third proportional to 255,723 and 538,407 is: 1,133,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,723 : 538,407 = 538,407 : x
  2. Step 2: Convert to fraction form
    255,723/538,407 = 538,407/x
  3. Step 3: Cross multiply
    255,723x = 538,407 × 538,407
  4. Step 4: Simplify right side
    255,723x = 289,882,097,649
  5. Step 5: Solve for x
    x = 289,882,097,649/255,723
  6. Step 6: Final answer
    x = 1,133,578.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.