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Finding the Third Proportional to 385.13 and 830.63

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Solution

The third proportional to 385.13 and 830.63 is: 1,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.13 : 830.63 = 830.63 : x
  2. Step 2: Convert to fraction form
    385.13/830.63 = 830.63/x
  3. Step 3: Cross multiply
    385.13x = 830.63 × 830.63
  4. Step 4: Simplify right side
    385.13x = 689,937.89
  5. Step 5: Solve for x
    x = 689,937.89/385.13
  6. Step 6: Final answer
    x = 1,791.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.