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Finding the Third Proportional to 260,104 and 559,006

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Solution

The third proportional to 260,104 and 559,006 is: 1,201,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,104 : 559,006 = 559,006 : x
  2. Step 2: Convert to fraction form
    260,104/559,006 = 559,006/x
  3. Step 3: Cross multiply
    260,104x = 559,006 × 559,006
  4. Step 4: Simplify right side
    260,104x = 312,487,708,036
  5. Step 5: Solve for x
    x = 312,487,708,036/260,104
  6. Step 6: Final answer
    x = 1,201,395.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.