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Finding the Third Proportional to 275,440 and 591,056

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Solution

The third proportional to 275,440 and 591,056 is: 1,268,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,440 : 591,056 = 591,056 : x
  2. Step 2: Convert to fraction form
    275,440/591,056 = 591,056/x
  3. Step 3: Cross multiply
    275,440x = 591,056 × 591,056
  4. Step 4: Simplify right side
    275,440x = 349,347,195,136
  5. Step 5: Solve for x
    x = 349,347,195,136/275,440
  6. Step 6: Final answer
    x = 1,268,324.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.