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Finding the Third Proportional to 467.02 and 1,036.55

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Solution

The third proportional to 467.02 and 1,036.55 is: 2,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.02 : 1,036.55 = 1,036.55 : x
  2. Step 2: Convert to fraction form
    467.02/1,036.55 = 1,036.55/x
  3. Step 3: Cross multiply
    467.02x = 1,036.55 × 1,036.55
  4. Step 4: Simplify right side
    467.02x = 1,074,429.42
  5. Step 5: Solve for x
    x = 1,074,429.42/467.02
  6. Step 6: Final answer
    x = 2,300.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.