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Finding the Third Proportional to 260,008 and 558,823

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Solution

The third proportional to 260,008 and 558,823 is: 1,201,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,008 : 558,823 = 558,823 : x
  2. Step 2: Convert to fraction form
    260,008/558,823 = 558,823/x
  3. Step 3: Cross multiply
    260,008x = 558,823 × 558,823
  4. Step 4: Simplify right side
    260,008x = 312,283,145,329
  5. Step 5: Solve for x
    x = 312,283,145,329/260,008
  6. Step 6: Final answer
    x = 1,201,052.07

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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.