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Finding the Third Proportional to 264,096 and 560,916

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Solution

The third proportional to 264,096 and 560,916 is: 1,191,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,096 : 560,916 = 560,916 : x
  2. Step 2: Convert to fraction form
    264,096/560,916 = 560,916/x
  3. Step 3: Cross multiply
    264,096x = 560,916 × 560,916
  4. Step 4: Simplify right side
    264,096x = 314,626,759,056
  5. Step 5: Solve for x
    x = 314,626,759,056/264,096
  6. Step 6: Final answer
    x = 1,191,334.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.