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Finding the Third Proportional to 253,524 and 538,146

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Solution

The third proportional to 253,524 and 538,146 is: 1,142,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,524 : 538,146 = 538,146 : x
  2. Step 2: Convert to fraction form
    253,524/538,146 = 538,146/x
  3. Step 3: Cross multiply
    253,524x = 538,146 × 538,146
  4. Step 4: Simplify right side
    253,524x = 289,601,117,316
  5. Step 5: Solve for x
    x = 289,601,117,316/253,524
  6. Step 6: Final answer
    x = 1,142,302.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.