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Finding the Third Proportional to 383.06 and 830.95

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Solution

The third proportional to 383.06 and 830.95 is: 1,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 830.95 = 830.95 : x
  2. Step 2: Convert to fraction form
    383.06/830.95 = 830.95/x
  3. Step 3: Cross multiply
    383.06x = 830.95 × 830.95
  4. Step 4: Simplify right side
    383.06x = 690,483.10
  5. Step 5: Solve for x
    x = 690,483.10/383.06
  6. Step 6: Final answer
    x = 1,802.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.