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Finding the Third Proportional to 255,280 and 452,026

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Solution

The third proportional to 255,280 and 452,026 is: 800,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,280 : 452,026 = 452,026 : x
  2. Step 2: Convert to fraction form
    255,280/452,026 = 452,026/x
  3. Step 3: Cross multiply
    255,280x = 452,026 × 452,026
  4. Step 4: Simplify right side
    255,280x = 204,327,504,676
  5. Step 5: Solve for x
    x = 204,327,504,676/255,280
  6. Step 6: Final answer
    x = 800,405.46

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.