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Finding the Third Proportional to 428,040 and 635,898

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Solution

The third proportional to 428,040 and 635,898 is: 944,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,040 : 635,898 = 635,898 : x
  2. Step 2: Convert to fraction form
    428,040/635,898 = 635,898/x
  3. Step 3: Cross multiply
    428,040x = 635,898 × 635,898
  4. Step 4: Simplify right side
    428,040x = 404,366,266,404
  5. Step 5: Solve for x
    x = 404,366,266,404/428,040
  6. Step 6: Final answer
    x = 944,692.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.