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Finding the Third Proportional to 633,344.63 and 980,310.38

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Solution

The third proportional to 633,344.63 and 980,310.38 is: 1,517,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,344.63 : 980,310.38 = 980,310.38 : x
  2. Step 2: Convert to fraction form
    633,344.63/980,310.38 = 980,310.38/x
  3. Step 3: Cross multiply
    633,344.63x = 980,310.38 × 980,310.38
  4. Step 4: Simplify right side
    633,344.63x = 961,008,431,332.64
  5. Step 5: Solve for x
    x = 961,008,431,332.64/633,344.63
  6. Step 6: Final answer
    x = 1,517,354.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.