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Finding the Third Proportional to 258,222 and 557,232

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Solution

The third proportional to 258,222 and 557,232 is: 1,202,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,222 : 557,232 = 557,232 : x
  2. Step 2: Convert to fraction form
    258,222/557,232 = 557,232/x
  3. Step 3: Cross multiply
    258,222x = 557,232 × 557,232
  4. Step 4: Simplify right side
    258,222x = 310,507,501,824
  5. Step 5: Solve for x
    x = 310,507,501,824/258,222
  6. Step 6: Final answer
    x = 1,202,482.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.