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Finding the Third Proportional to 254,515 and 552,774

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Solution

The third proportional to 254,515 and 552,774 is: 1,200,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,515 : 552,774 = 552,774 : x
  2. Step 2: Convert to fraction form
    254,515/552,774 = 552,774/x
  3. Step 3: Cross multiply
    254,515x = 552,774 × 552,774
  4. Step 4: Simplify right side
    254,515x = 305,559,095,076
  5. Step 5: Solve for x
    x = 305,559,095,076/254,515
  6. Step 6: Final answer
    x = 1,200,554.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.