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Finding the Third Proportional to 268,946.50 and 585,211

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Solution

The third proportional to 268,946.50 and 585,211 is: 1,273,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,946.50 : 585,211 = 585,211 : x
  2. Step 2: Convert to fraction form
    268,946.50/585,211 = 585,211/x
  3. Step 3: Cross multiply
    268,946.50x = 585,211 × 585,211
  4. Step 4: Simplify right side
    268,946.50x = 342,471,914,521
  5. Step 5: Solve for x
    x = 342,471,914,521/268,946.50
  6. Step 6: Final answer
    x = 1,273,383.05

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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.