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Finding the Third Proportional to 560,328 and 848,916

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Solution

The third proportional to 560,328 and 848,916 is: 1,286,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,328 : 848,916 = 848,916 : x
  2. Step 2: Convert to fraction form
    560,328/848,916 = 848,916/x
  3. Step 3: Cross multiply
    560,328x = 848,916 × 848,916
  4. Step 4: Simplify right side
    560,328x = 720,658,375,056
  5. Step 5: Solve for x
    x = 720,658,375,056/560,328
  6. Step 6: Final answer
    x = 1,286,136.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.