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Finding the Third Proportional to 258,501 and 540,546

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Solution

The third proportional to 258,501 and 540,546 is: 1,130,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,501 : 540,546 = 540,546 : x
  2. Step 2: Convert to fraction form
    258,501/540,546 = 540,546/x
  3. Step 3: Cross multiply
    258,501x = 540,546 × 540,546
  4. Step 4: Simplify right side
    258,501x = 292,189,978,116
  5. Step 5: Solve for x
    x = 292,189,978,116/258,501
  6. Step 6: Final answer
    x = 1,130,324.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.