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Finding the Third Proportional to 201,319.50 and 438,813

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Solution

The third proportional to 201,319.50 and 438,813 is: 956,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,319.50 : 438,813 = 438,813 : x
  2. Step 2: Convert to fraction form
    201,319.50/438,813 = 438,813/x
  3. Step 3: Cross multiply
    201,319.50x = 438,813 × 438,813
  4. Step 4: Simplify right side
    201,319.50x = 192,556,848,969
  5. Step 5: Solve for x
    x = 192,556,848,969/201,319.50
  6. Step 6: Final answer
    x = 956,473.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.