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Finding the Third Proportional to 273,514 and 414,045

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Solution

The third proportional to 273,514 and 414,045 is: 626,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,514 : 414,045 = 414,045 : x
  2. Step 2: Convert to fraction form
    273,514/414,045 = 414,045/x
  3. Step 3: Cross multiply
    273,514x = 414,045 × 414,045
  4. Step 4: Simplify right side
    273,514x = 171,433,262,025
  5. Step 5: Solve for x
    x = 171,433,262,025/273,514
  6. Step 6: Final answer
    x = 626,780.57

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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.