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Finding the Third Proportional to 453,897 and 682,804.69

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Solution

The third proportional to 453,897 and 682,804.69 is: 1,027,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,897 : 682,804.69 = 682,804.69 : x
  2. Step 2: Convert to fraction form
    453,897/682,804.69 = 682,804.69/x
  3. Step 3: Cross multiply
    453,897x = 682,804.69 × 682,804.69
  4. Step 4: Simplify right side
    453,897x = 466,222,241,271.97
  5. Step 5: Solve for x
    x = 466,222,241,271.97/453,897
  6. Step 6: Final answer
    x = 1,027,154.27

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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.