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Finding the Third Proportional to 428,044 and 635,904

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Solution

The third proportional to 428,044 and 635,904 is: 944,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,044 : 635,904 = 635,904 : x
  2. Step 2: Convert to fraction form
    428,044/635,904 = 635,904/x
  3. Step 3: Cross multiply
    428,044x = 635,904 × 635,904
  4. Step 4: Simplify right side
    428,044x = 404,373,897,216
  5. Step 5: Solve for x
    x = 404,373,897,216/428,044
  6. Step 6: Final answer
    x = 944,701.71

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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.