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Finding the Third Proportional to 430.75 and 941.75

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Solution

The third proportional to 430.75 and 941.75 is: 2,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.75 : 941.75 = 941.75 : x
  2. Step 2: Convert to fraction form
    430.75/941.75 = 941.75/x
  3. Step 3: Cross multiply
    430.75x = 941.75 × 941.75
  4. Step 4: Simplify right side
    430.75x = 886,893.06
  5. Step 5: Solve for x
    x = 886,893.06/430.75
  6. Step 6: Final answer
    x = 2,058.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.