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Finding the Third Proportional to 258,260 and 557,296

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Solution

The third proportional to 258,260 and 557,296 is: 1,202,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,260 : 557,296 = 557,296 : x
  2. Step 2: Convert to fraction form
    258,260/557,296 = 557,296/x
  3. Step 3: Cross multiply
    258,260x = 557,296 × 557,296
  4. Step 4: Simplify right side
    258,260x = 310,578,831,616
  5. Step 5: Solve for x
    x = 310,578,831,616/258,260
  6. Step 6: Final answer
    x = 1,202,582.02

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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.