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Finding the Third Proportional to 253,038 and 534,525

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Solution

The third proportional to 253,038 and 534,525 is: 1,129,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,038 : 534,525 = 534,525 : x
  2. Step 2: Convert to fraction form
    253,038/534,525 = 534,525/x
  3. Step 3: Cross multiply
    253,038x = 534,525 × 534,525
  4. Step 4: Simplify right side
    253,038x = 285,716,975,625
  5. Step 5: Solve for x
    x = 285,716,975,625/253,038
  6. Step 6: Final answer
    x = 1,129,146.51

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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.