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Finding the Third Proportional to 375.94 and 805.03

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Solution

The third proportional to 375.94 and 805.03 is: 1,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 805.03 = 805.03 : x
  2. Step 2: Convert to fraction form
    375.94/805.03 = 805.03/x
  3. Step 3: Cross multiply
    375.94x = 805.03 × 805.03
  4. Step 4: Simplify right side
    375.94x = 648,075.31
  5. Step 5: Solve for x
    x = 648,075.31/375.94
  6. Step 6: Final answer
    x = 1,723.89

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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.