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Finding the Third Proportional to 199,647 and 438,007.50

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Solution

The third proportional to 199,647 and 438,007.50 is: 960,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,647 : 438,007.50 = 438,007.50 : x
  2. Step 2: Convert to fraction form
    199,647/438,007.50 = 438,007.50/x
  3. Step 3: Cross multiply
    199,647x = 438,007.50 × 438,007.50
  4. Step 4: Simplify right side
    199,647x = 191,850,570,056.25
  5. Step 5: Solve for x
    x = 191,850,570,056.25/199,647
  6. Step 6: Final answer
    x = 960,948.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.