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Finding the Third Proportional to 260,102 and 559,004

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Solution

The third proportional to 260,102 and 559,004 is: 1,201,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,102 : 559,004 = 559,004 : x
  2. Step 2: Convert to fraction form
    260,102/559,004 = 559,004/x
  3. Step 3: Cross multiply
    260,102x = 559,004 × 559,004
  4. Step 4: Simplify right side
    260,102x = 312,485,472,016
  5. Step 5: Solve for x
    x = 312,485,472,016/260,102
  6. Step 6: Final answer
    x = 1,201,395.88

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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.