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Finding the Third Proportional to 193,492.75 and 410,397.75

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Solution

The third proportional to 193,492.75 and 410,397.75 is: 870,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,492.75 : 410,397.75 = 410,397.75 : x
  2. Step 2: Convert to fraction form
    193,492.75/410,397.75 = 410,397.75/x
  3. Step 3: Cross multiply
    193,492.75x = 410,397.75 × 410,397.75
  4. Step 4: Simplify right side
    193,492.75x = 168,426,313,205.06
  5. Step 5: Solve for x
    x = 168,426,313,205.06/193,492.75
  6. Step 6: Final answer
    x = 870,452.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.