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Finding the Third Proportional to 830.25 and 1,211.63

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Solution

The third proportional to 830.25 and 1,211.63 is: 1,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.25 : 1,211.63 = 1,211.63 : x
  2. Step 2: Convert to fraction form
    830.25/1,211.63 = 1,211.63/x
  3. Step 3: Cross multiply
    830.25x = 1,211.63 × 1,211.63
  4. Step 4: Simplify right side
    830.25x = 1,468,035.14
  5. Step 5: Solve for x
    x = 1,468,035.14/830.25
  6. Step 6: Final answer
    x = 1,768.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.