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Finding the Third Proportional to 804.46 and 1,170.03

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Solution

The third proportional to 804.46 and 1,170.03 is: 1,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.46 : 1,170.03 = 1,170.03 : x
  2. Step 2: Convert to fraction form
    804.46/1,170.03 = 1,170.03/x
  3. Step 3: Cross multiply
    804.46x = 1,170.03 × 1,170.03
  4. Step 4: Simplify right side
    804.46x = 1,368,971.98
  5. Step 5: Solve for x
    x = 1,368,971.98/804.46
  6. Step 6: Final answer
    x = 1,701.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.