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Finding the Third Proportional to 260,083 and 558,965

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Solution

The third proportional to 260,083 and 558,965 is: 1,201,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083 : 558,965 = 558,965 : x
  2. Step 2: Convert to fraction form
    260,083/558,965 = 558,965/x
  3. Step 3: Cross multiply
    260,083x = 558,965 × 558,965
  4. Step 4: Simplify right side
    260,083x = 312,441,871,225
  5. Step 5: Solve for x
    x = 312,441,871,225/260,083
  6. Step 6: Final answer
    x = 1,201,316.01

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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.