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Finding the Third Proportional to 453,902.63 and 682,813.13

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Solution

The third proportional to 453,902.63 and 682,813.13 is: 1,027,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,902.63 : 682,813.13 = 682,813.13 : x
  2. Step 2: Convert to fraction form
    453,902.63/682,813.13 = 682,813.13/x
  3. Step 3: Cross multiply
    453,902.63x = 682,813.13 × 682,813.13
  4. Step 4: Simplify right side
    453,902.63x = 466,233,763,672.27
  5. Step 5: Solve for x
    x = 466,233,763,672.27/453,902.63
  6. Step 6: Final answer
    x = 1,027,166.93

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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.