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Finding the Third Proportional to 453,920.63 and 682,840.13

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Solution

The third proportional to 453,920.63 and 682,840.13 is: 1,027,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,920.63 : 682,840.13 = 682,840.13 : x
  2. Step 2: Convert to fraction form
    453,920.63/682,840.13 = 682,840.13/x
  3. Step 3: Cross multiply
    453,920.63x = 682,840.13 × 682,840.13
  4. Step 4: Simplify right side
    453,920.63x = 466,270,636,310.02
  5. Step 5: Solve for x
    x = 466,270,636,310.02/453,920.63
  6. Step 6: Final answer
    x = 1,027,207.42

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