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Finding the Third Proportional to 803.44 and 1,319.06

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Solution

The third proportional to 803.44 and 1,319.06 is: 2,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.44 : 1,319.06 = 1,319.06 : x
  2. Step 2: Convert to fraction form
    803.44/1,319.06 = 1,319.06/x
  3. Step 3: Cross multiply
    803.44x = 1,319.06 × 1,319.06
  4. Step 4: Simplify right side
    803.44x = 1,739,925.88
  5. Step 5: Solve for x
    x = 1,739,925.88/803.44
  6. Step 6: Final answer
    x = 2,165.60

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.