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Finding the Third Proportional to 516.63 and 722.63

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Solution

The third proportional to 516.63 and 722.63 is: 1,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.63 : 722.63 = 722.63 : x
  2. Step 2: Convert to fraction form
    516.63/722.63 = 722.63/x
  3. Step 3: Cross multiply
    516.63x = 722.63 × 722.63
  4. Step 4: Simplify right side
    516.63x = 522,186.89
  5. Step 5: Solve for x
    x = 522,186.89/516.63
  6. Step 6: Final answer
    x = 1,010.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.