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Finding the Third Proportional to 298,255 and 451,726

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Solution

The third proportional to 298,255 and 451,726 is: 684,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,255 : 451,726 = 451,726 : x
  2. Step 2: Convert to fraction form
    298,255/451,726 = 451,726/x
  3. Step 3: Cross multiply
    298,255x = 451,726 × 451,726
  4. Step 4: Simplify right side
    298,255x = 204,056,379,076
  5. Step 5: Solve for x
    x = 204,056,379,076/298,255
  6. Step 6: Final answer
    x = 684,167.50

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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.