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Finding the Third Proportional to 575.23 and 918.84

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Solution

The third proportional to 575.23 and 918.84 is: 1,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.23 : 918.84 = 918.84 : x
  2. Step 2: Convert to fraction form
    575.23/918.84 = 918.84/x
  3. Step 3: Cross multiply
    575.23x = 918.84 × 918.84
  4. Step 4: Simplify right side
    575.23x = 844,273.84
  5. Step 5: Solve for x
    x = 844,273.84/575.23
  6. Step 6: Final answer
    x = 1,467.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.