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Finding the Third Proportional to 412.50 and 890.25

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Solution

The third proportional to 412.50 and 890.25 is: 1,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.50 : 890.25 = 890.25 : x
  2. Step 2: Convert to fraction form
    412.50/890.25 = 890.25/x
  3. Step 3: Cross multiply
    412.50x = 890.25 × 890.25
  4. Step 4: Simplify right side
    412.50x = 792,545.06
  5. Step 5: Solve for x
    x = 792,545.06/412.50
  6. Step 6: Final answer
    x = 1,921.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.