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Finding the Third Proportional to 730.69 and 1,506.94

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Solution

The third proportional to 730.69 and 1,506.94 is: 3,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,506.94 = 1,506.94 : x
  2. Step 2: Convert to fraction form
    730.69/1,506.94 = 1,506.94/x
  3. Step 3: Cross multiply
    730.69x = 1,506.94 × 1,506.94
  4. Step 4: Simplify right side
    730.69x = 2,270,860.63
  5. Step 5: Solve for x
    x = 2,270,860.63/730.69
  6. Step 6: Final answer
    x = 3,107.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.