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Finding the Third Proportional to 511.88 and 849.38

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Solution

The third proportional to 511.88 and 849.38 is: 1,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.88 : 849.38 = 849.38 : x
  2. Step 2: Convert to fraction form
    511.88/849.38 = 849.38/x
  3. Step 3: Cross multiply
    511.88x = 849.38 × 849.38
  4. Step 4: Simplify right side
    511.88x = 721,437.89
  5. Step 5: Solve for x
    x = 721,437.89/511.88
  6. Step 6: Final answer
    x = 1,409.40

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.