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Finding the Third Proportional to 199,124 and 429,944

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Solution

The third proportional to 199,124 and 429,944 is: 928,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,124 : 429,944 = 429,944 : x
  2. Step 2: Convert to fraction form
    199,124/429,944 = 429,944/x
  3. Step 3: Cross multiply
    199,124x = 429,944 × 429,944
  4. Step 4: Simplify right side
    199,124x = 184,851,843,136
  5. Step 5: Solve for x
    x = 184,851,843,136/199,124
  6. Step 6: Final answer
    x = 928,325.28

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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.