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Finding the Third Proportional to 497.63 and 1,063.69

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Solution

The third proportional to 497.63 and 1,063.69 is: 2,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.63 : 1,063.69 = 1,063.69 : x
  2. Step 2: Convert to fraction form
    497.63/1,063.69 = 1,063.69/x
  3. Step 3: Cross multiply
    497.63x = 1,063.69 × 1,063.69
  4. Step 4: Simplify right side
    497.63x = 1,131,431.10
  5. Step 5: Solve for x
    x = 1,131,431.10/497.63
  6. Step 6: Final answer
    x = 2,273.66

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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.