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Finding the Third Proportional to 260,003 and 558,813

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Solution

The third proportional to 260,003 and 558,813 is: 1,201,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,003 : 558,813 = 558,813 : x
  2. Step 2: Convert to fraction form
    260,003/558,813 = 558,813/x
  3. Step 3: Cross multiply
    260,003x = 558,813 × 558,813
  4. Step 4: Simplify right side
    260,003x = 312,271,968,969
  5. Step 5: Solve for x
    x = 312,271,968,969/260,003
  6. Step 6: Final answer
    x = 1,201,032.18

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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.