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Finding the Third Proportional to 830.81 and 1,778.06

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Solution

The third proportional to 830.81 and 1,778.06 is: 3,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.81 : 1,778.06 = 1,778.06 : x
  2. Step 2: Convert to fraction form
    830.81/1,778.06 = 1,778.06/x
  3. Step 3: Cross multiply
    830.81x = 1,778.06 × 1,778.06
  4. Step 4: Simplify right side
    830.81x = 3,161,506.25
  5. Step 5: Solve for x
    x = 3,161,506.25/830.81
  6. Step 6: Final answer
    x = 3,805.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.