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Finding the Third Proportional to 199,244 and 429,974

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Solution

The third proportional to 199,244 and 429,974 is: 927,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,244 : 429,974 = 429,974 : x
  2. Step 2: Convert to fraction form
    199,244/429,974 = 429,974/x
  3. Step 3: Cross multiply
    199,244x = 429,974 × 429,974
  4. Step 4: Simplify right side
    199,244x = 184,877,640,676
  5. Step 5: Solve for x
    x = 184,877,640,676/199,244
  6. Step 6: Final answer
    x = 927,895.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.