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Finding the Third Proportional to 254,040 and 543,056

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Solution

The third proportional to 254,040 and 543,056 is: 1,160,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,040 : 543,056 = 543,056 : x
  2. Step 2: Convert to fraction form
    254,040/543,056 = 543,056/x
  3. Step 3: Cross multiply
    254,040x = 543,056 × 543,056
  4. Step 4: Simplify right side
    254,040x = 294,909,819,136
  5. Step 5: Solve for x
    x = 294,909,819,136/254,040
  6. Step 6: Final answer
    x = 1,160,879.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.