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Finding the Third Proportional to 255,750 and 538,017

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Solution

The third proportional to 255,750 and 538,017 is: 1,131,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,750 : 538,017 = 538,017 : x
  2. Step 2: Convert to fraction form
    255,750/538,017 = 538,017/x
  3. Step 3: Cross multiply
    255,750x = 538,017 × 538,017
  4. Step 4: Simplify right side
    255,750x = 289,462,292,289
  5. Step 5: Solve for x
    x = 289,462,292,289/255,750
  6. Step 6: Final answer
    x = 1,131,817.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.