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Finding the Third Proportional to 273,167 and 413,559

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Solution

The third proportional to 273,167 and 413,559 is: 626,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,167 : 413,559 = 413,559 : x
  2. Step 2: Convert to fraction form
    273,167/413,559 = 413,559/x
  3. Step 3: Cross multiply
    273,167x = 413,559 × 413,559
  4. Step 4: Simplify right side
    273,167x = 171,031,046,481
  5. Step 5: Solve for x
    x = 171,031,046,481/273,167
  6. Step 6: Final answer
    x = 626,104.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.