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Finding the Third Proportional to 253,371 and 547,338

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Solution

The third proportional to 253,371 and 547,338 is: 1,182,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,371 : 547,338 = 547,338 : x
  2. Step 2: Convert to fraction form
    253,371/547,338 = 547,338/x
  3. Step 3: Cross multiply
    253,371x = 547,338 × 547,338
  4. Step 4: Simplify right side
    253,371x = 299,578,886,244
  5. Step 5: Solve for x
    x = 299,578,886,244/253,371
  6. Step 6: Final answer
    x = 1,182,372.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.