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Finding the Third Proportional to 199,191 and 429,486

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Solution

The third proportional to 199,191 and 429,486 is: 926,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,191 : 429,486 = 429,486 : x
  2. Step 2: Convert to fraction form
    199,191/429,486 = 429,486/x
  3. Step 3: Cross multiply
    199,191x = 429,486 × 429,486
  4. Step 4: Simplify right side
    199,191x = 184,458,224,196
  5. Step 5: Solve for x
    x = 184,458,224,196/199,191
  6. Step 6: Final answer
    x = 926,036.94

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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.