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Finding the Third Proportional to 594,921.94 and 906,325.31

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Solution

The third proportional to 594,921.94 and 906,325.31 is: 1,380,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,921.94 : 906,325.31 = 906,325.31 : x
  2. Step 2: Convert to fraction form
    594,921.94/906,325.31 = 906,325.31/x
  3. Step 3: Cross multiply
    594,921.94x = 906,325.31 × 906,325.31
  4. Step 4: Simplify right side
    594,921.94x = 821,425,572,078.22
  5. Step 5: Solve for x
    x = 821,425,572,078.22/594,921.94
  6. Step 6: Final answer
    x = 1,380,728.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.