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Finding the Third Proportional to 560.25 and 894.38

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Solution

The third proportional to 560.25 and 894.38 is: 1,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 894.38 = 894.38 : x
  2. Step 2: Convert to fraction form
    560.25/894.38 = 894.38/x
  3. Step 3: Cross multiply
    560.25x = 894.38 × 894.38
  4. Step 4: Simplify right side
    560.25x = 799,906.64
  5. Step 5: Solve for x
    x = 799,906.64/560.25
  6. Step 6: Final answer
    x = 1,427.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.