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Finding the Third Proportional to 584.53 and 897.33

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Solution

The third proportional to 584.53 and 897.33 is: 1,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.53 : 897.33 = 897.33 : x
  2. Step 2: Convert to fraction form
    584.53/897.33 = 897.33/x
  3. Step 3: Cross multiply
    584.53x = 897.33 × 897.33
  4. Step 4: Simplify right side
    584.53x = 805,197.76
  5. Step 5: Solve for x
    x = 805,197.76/584.53
  6. Step 6: Final answer
    x = 1,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.