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Finding the Third Proportional to 594.50 and 900.25

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Solution

The third proportional to 594.50 and 900.25 is: 1,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.50 : 900.25 = 900.25 : x
  2. Step 2: Convert to fraction form
    594.50/900.25 = 900.25/x
  3. Step 3: Cross multiply
    594.50x = 900.25 × 900.25
  4. Step 4: Simplify right side
    594.50x = 810,450.06
  5. Step 5: Solve for x
    x = 810,450.06/594.50
  6. Step 6: Final answer
    x = 1,363.25

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Why These Related Problems?

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