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Finding the Third Proportional to 199,308 and 438,000

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Solution

The third proportional to 199,308 and 438,000 is: 962,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,308 : 438,000 = 438,000 : x
  2. Step 2: Convert to fraction form
    199,308/438,000 = 438,000/x
  3. Step 3: Cross multiply
    199,308x = 438,000 × 438,000
  4. Step 4: Simplify right side
    199,308x = 191,844,000,000
  5. Step 5: Solve for x
    x = 191,844,000,000/199,308
  6. Step 6: Final answer
    x = 962,550.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.