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Finding the Third Proportional to 189,959 and 446,942

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Solution

The third proportional to 189,959 and 446,942 is: 1,051,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,959 : 446,942 = 446,942 : x
  2. Step 2: Convert to fraction form
    189,959/446,942 = 446,942/x
  3. Step 3: Cross multiply
    189,959x = 446,942 × 446,942
  4. Step 4: Simplify right side
    189,959x = 199,757,151,364
  5. Step 5: Solve for x
    x = 199,757,151,364/189,959
  6. Step 6: Final answer
    x = 1,051,580.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.