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Finding the Third Proportional to 274,964 and 413,176

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Solution

The third proportional to 274,964 and 413,176 is: 620,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,964 : 413,176 = 413,176 : x
  2. Step 2: Convert to fraction form
    274,964/413,176 = 413,176/x
  3. Step 3: Cross multiply
    274,964x = 413,176 × 413,176
  4. Step 4: Simplify right side
    274,964x = 170,714,406,976
  5. Step 5: Solve for x
    x = 170,714,406,976/274,964
  6. Step 6: Final answer
    x = 620,860.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.