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Finding the Third Proportional to 824.44 and 1,802.63

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Solution

The third proportional to 824.44 and 1,802.63 is: 3,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.44 : 1,802.63 = 1,802.63 : x
  2. Step 2: Convert to fraction form
    824.44/1,802.63 = 1,802.63/x
  3. Step 3: Cross multiply
    824.44x = 1,802.63 × 1,802.63
  4. Step 4: Simplify right side
    824.44x = 3,249,456.89
  5. Step 5: Solve for x
    x = 3,249,456.89/824.44
  6. Step 6: Final answer
    x = 3,941.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.