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Finding the Third Proportional to 341.72 and 514.48

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Solution

The third proportional to 341.72 and 514.48 is: 774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.72 : 514.48 = 514.48 : x
  2. Step 2: Convert to fraction form
    341.72/514.48 = 514.48/x
  3. Step 3: Cross multiply
    341.72x = 514.48 × 514.48
  4. Step 4: Simplify right side
    341.72x = 264,686.13
  5. Step 5: Solve for x
    x = 264,686.13/341.72
  6. Step 6: Final answer
    x = 774.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.