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Finding the Third Proportional to 512,733.38 and 1,117,724.63

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Solution

The third proportional to 512,733.38 and 1,117,724.63 is: 2,436,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,733.38 : 1,117,724.63 = 1,117,724.63 : x
  2. Step 2: Convert to fraction form
    512,733.38/1,117,724.63 = 1,117,724.63/x
  3. Step 3: Cross multiply
    512,733.38x = 1,117,724.63 × 1,117,724.63
  4. Step 4: Simplify right side
    512,733.38x = 1,249,308,337,331.39
  5. Step 5: Solve for x
    x = 1,249,308,337,331.39/512,733.38
  6. Step 6: Final answer
    x = 2,436,565.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.