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Finding the Third Proportional to 274,164 and 408,964

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Solution

The third proportional to 274,164 and 408,964 is: 610,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,164 : 408,964 = 408,964 : x
  2. Step 2: Convert to fraction form
    274,164/408,964 = 408,964/x
  3. Step 3: Cross multiply
    274,164x = 408,964 × 408,964
  4. Step 4: Simplify right side
    274,164x = 167,251,553,296
  5. Step 5: Solve for x
    x = 167,251,553,296/274,164
  6. Step 6: Final answer
    x = 610,041.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.