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Finding the Third Proportional to 594,883 and 906,262.50

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Solution

The third proportional to 594,883 and 906,262.50 is: 1,380,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,883 : 906,262.50 = 906,262.50 : x
  2. Step 2: Convert to fraction form
    594,883/906,262.50 = 906,262.50/x
  3. Step 3: Cross multiply
    594,883x = 906,262.50 × 906,262.50
  4. Step 4: Simplify right side
    594,883x = 821,311,718,906.25
  5. Step 5: Solve for x
    x = 821,311,718,906.25/594,883
  6. Step 6: Final answer
    x = 1,380,627.31

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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.