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Finding the Third Proportional to 594,883.50 and 906,263.25

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Solution

The third proportional to 594,883.50 and 906,263.25 is: 1,380,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,883.50 : 906,263.25 = 906,263.25 : x
  2. Step 2: Convert to fraction form
    594,883.50/906,263.25 = 906,263.25/x
  3. Step 3: Cross multiply
    594,883.50x = 906,263.25 × 906,263.25
  4. Step 4: Simplify right side
    594,883.50x = 821,313,078,300.56
  5. Step 5: Solve for x
    x = 821,313,078,300.56/594,883.50
  6. Step 6: Final answer
    x = 1,380,628.44

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Why These Related Problems?

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