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Finding the Third Proportional to 638,508 and 956,003

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Solution

The third proportional to 638,508 and 956,003 is: 1,431,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,508 : 956,003 = 956,003 : x
  2. Step 2: Convert to fraction form
    638,508/956,003 = 956,003/x
  3. Step 3: Cross multiply
    638,508x = 956,003 × 956,003
  4. Step 4: Simplify right side
    638,508x = 913,941,736,009
  5. Step 5: Solve for x
    x = 913,941,736,009/638,508
  6. Step 6: Final answer
    x = 1,431,370.85

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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.