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Finding the Third Proportional to 260,090 and 558,976

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Solution

The third proportional to 260,090 and 558,976 is: 1,201,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,090 : 558,976 = 558,976 : x
  2. Step 2: Convert to fraction form
    260,090/558,976 = 558,976/x
  3. Step 3: Cross multiply
    260,090x = 558,976 × 558,976
  4. Step 4: Simplify right side
    260,090x = 312,454,168,576
  5. Step 5: Solve for x
    x = 312,454,168,576/260,090
  6. Step 6: Final answer
    x = 1,201,330.96

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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.