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Finding the Third Proportional to 458.44 and 1,004.63

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Solution

The third proportional to 458.44 and 1,004.63 is: 2,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.44 : 1,004.63 = 1,004.63 : x
  2. Step 2: Convert to fraction form
    458.44/1,004.63 = 1,004.63/x
  3. Step 3: Cross multiply
    458.44x = 1,004.63 × 1,004.63
  4. Step 4: Simplify right side
    458.44x = 1,009,271.39
  5. Step 5: Solve for x
    x = 1,009,271.39/458.44
  6. Step 6: Final answer
    x = 2,201.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.