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Finding the Third Proportional to 799.03 and 1,120.08

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Solution

The third proportional to 799.03 and 1,120.08 is: 1,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.03 : 1,120.08 = 1,120.08 : x
  2. Step 2: Convert to fraction form
    799.03/1,120.08 = 1,120.08/x
  3. Step 3: Cross multiply
    799.03x = 1,120.08 × 1,120.08
  4. Step 4: Simplify right side
    799.03x = 1,254,575.01
  5. Step 5: Solve for x
    x = 1,254,575.01/799.03
  6. Step 6: Final answer
    x = 1,570.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.