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Finding the Third Proportional to 199,901 and 429,444

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Solution

The third proportional to 199,901 and 429,444 is: 922,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,901 : 429,444 = 429,444 : x
  2. Step 2: Convert to fraction form
    199,901/429,444 = 429,444/x
  3. Step 3: Cross multiply
    199,901x = 429,444 × 429,444
  4. Step 4: Simplify right side
    199,901x = 184,422,149,136
  5. Step 5: Solve for x
    x = 184,422,149,136/199,901
  6. Step 6: Final answer
    x = 922,567.42

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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.