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Finding the Third Proportional to 308,512.13 and 470,969.44

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Solution

The third proportional to 308,512.13 and 470,969.44 is: 718,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,512.13 : 470,969.44 = 470,969.44 : x
  2. Step 2: Convert to fraction form
    308,512.13/470,969.44 = 470,969.44/x
  3. Step 3: Cross multiply
    308,512.13x = 470,969.44 × 470,969.44
  4. Step 4: Simplify right side
    308,512.13x = 221,812,211,059.07
  5. Step 5: Solve for x
    x = 221,812,211,059.07/308,512.13
  6. Step 6: Final answer
    x = 718,974.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.