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Finding the Third Proportional to 199,320 and 429,945

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Solution

The third proportional to 199,320 and 429,945 is: 927,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,320 : 429,945 = 429,945 : x
  2. Step 2: Convert to fraction form
    199,320/429,945 = 429,945/x
  3. Step 3: Cross multiply
    199,320x = 429,945 × 429,945
  4. Step 4: Simplify right side
    199,320x = 184,852,703,025
  5. Step 5: Solve for x
    x = 184,852,703,025/199,320
  6. Step 6: Final answer
    x = 927,416.73

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