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Finding the Third Proportional to 588,789 and 906,268.50

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Solution

The third proportional to 588,789 and 906,268.50 is: 1,394,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,789 : 906,268.50 = 906,268.50 : x
  2. Step 2: Convert to fraction form
    588,789/906,268.50 = 906,268.50/x
  3. Step 3: Cross multiply
    588,789x = 906,268.50 × 906,268.50
  4. Step 4: Simplify right side
    588,789x = 821,322,594,092.25
  5. Step 5: Solve for x
    x = 821,322,594,092.25/588,789
  6. Step 6: Final answer
    x = 1,394,935.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.