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Finding the Third Proportional to 804.61 and 1,763.02

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Solution

The third proportional to 804.61 and 1,763.02 is: 3,863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.61 : 1,763.02 = 1,763.02 : x
  2. Step 2: Convert to fraction form
    804.61/1,763.02 = 1,763.02/x
  3. Step 3: Cross multiply
    804.61x = 1,763.02 × 1,763.02
  4. Step 4: Simplify right side
    804.61x = 3,108,224.09
  5. Step 5: Solve for x
    x = 3,108,224.09/804.61
  6. Step 6: Final answer
    x = 3,863.02

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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.