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Finding the Third Proportional to 575.44 and 973.69

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Solution

The third proportional to 575.44 and 973.69 is: 1,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.44 : 973.69 = 973.69 : x
  2. Step 2: Convert to fraction form
    575.44/973.69 = 973.69/x
  3. Step 3: Cross multiply
    575.44x = 973.69 × 973.69
  4. Step 4: Simplify right side
    575.44x = 948,067.35
  5. Step 5: Solve for x
    x = 948,067.35/575.44
  6. Step 6: Final answer
    x = 1,647.56

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.