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Finding the Third Proportional to 254,010 and 543,012

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Solution

The third proportional to 254,010 and 543,012 is: 1,160,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,010 : 543,012 = 543,012 : x
  2. Step 2: Convert to fraction form
    254,010/543,012 = 543,012/x
  3. Step 3: Cross multiply
    254,010x = 543,012 × 543,012
  4. Step 4: Simplify right side
    254,010x = 294,862,032,144
  5. Step 5: Solve for x
    x = 294,862,032,144/254,010
  6. Step 6: Final answer
    x = 1,160,828.44

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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.