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Finding the Third Proportional to 196,441 and 428,865.50

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Solution

The third proportional to 196,441 and 428,865.50 is: 936,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,441 : 428,865.50 = 428,865.50 : x
  2. Step 2: Convert to fraction form
    196,441/428,865.50 = 428,865.50/x
  3. Step 3: Cross multiply
    196,441x = 428,865.50 × 428,865.50
  4. Step 4: Simplify right side
    196,441x = 183,925,617,090.25
  5. Step 5: Solve for x
    x = 183,925,617,090.25/196,441
  6. Step 6: Final answer
    x = 936,289.35

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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.