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Finding the Third Proportional to 503.63 and 1,109.79

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Solution

The third proportional to 503.63 and 1,109.79 is: 2,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.63 : 1,109.79 = 1,109.79 : x
  2. Step 2: Convert to fraction form
    503.63/1,109.79 = 1,109.79/x
  3. Step 3: Cross multiply
    503.63x = 1,109.79 × 1,109.79
  4. Step 4: Simplify right side
    503.63x = 1,231,622.82
  5. Step 5: Solve for x
    x = 1,231,622.82/503.63
  6. Step 6: Final answer
    x = 2,445.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.