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Finding the Third Proportional to 803.04 and 1,714.29

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Solution

The third proportional to 803.04 and 1,714.29 is: 3,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.04 : 1,714.29 = 1,714.29 : x
  2. Step 2: Convert to fraction form
    803.04/1,714.29 = 1,714.29/x
  3. Step 3: Cross multiply
    803.04x = 1,714.29 × 1,714.29
  4. Step 4: Simplify right side
    803.04x = 2,938,786.99
  5. Step 5: Solve for x
    x = 2,938,786.99/803.04
  6. Step 6: Final answer
    x = 3,659.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.