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Finding the Third Proportional to 657,148.78 and 994,491.84

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Solution

The third proportional to 657,148.78 and 994,491.84 is: 1,505,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,148.78 : 994,491.84 = 994,491.84 : x
  2. Step 2: Convert to fraction form
    657,148.78/994,491.84 = 994,491.84/x
  3. Step 3: Cross multiply
    657,148.78x = 994,491.84 × 994,491.84
  4. Step 4: Simplify right side
    657,148.78x = 989,014,027,285.27
  5. Step 5: Solve for x
    x = 989,014,027,285.27/657,148.78
  6. Step 6: Final answer
    x = 1,505,007.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.