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Finding the Third Proportional to 375.44 and 805.06

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Solution

The third proportional to 375.44 and 805.06 is: 1,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 805.06 = 805.06 : x
  2. Step 2: Convert to fraction form
    375.44/805.06 = 805.06/x
  3. Step 3: Cross multiply
    375.44x = 805.06 × 805.06
  4. Step 4: Simplify right side
    375.44x = 648,125.63
  5. Step 5: Solve for x
    x = 648,125.63/375.44
  6. Step 6: Final answer
    x = 1,726.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.