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Finding the Third Proportional to 341.72 and 730.90

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Solution

The third proportional to 341.72 and 730.90 is: 1,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.72 : 730.90 = 730.90 : x
  2. Step 2: Convert to fraction form
    341.72/730.90 = 730.90/x
  3. Step 3: Cross multiply
    341.72x = 730.90 × 730.90
  4. Step 4: Simplify right side
    341.72x = 534,212.53
  5. Step 5: Solve for x
    x = 534,212.53/341.72
  6. Step 6: Final answer
    x = 1,563.31

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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.