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Finding the Third Proportional to 584.44 and 915.19

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Solution

The third proportional to 584.44 and 915.19 is: 1,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.44 : 915.19 = 915.19 : x
  2. Step 2: Convert to fraction form
    584.44/915.19 = 915.19/x
  3. Step 3: Cross multiply
    584.44x = 915.19 × 915.19
  4. Step 4: Simplify right side
    584.44x = 837,568.16
  5. Step 5: Solve for x
    x = 837,568.16/584.44
  6. Step 6: Final answer
    x = 1,433.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.