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Finding the Third Proportional to 307,224.75 and 470,192.25

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Solution

The third proportional to 307,224.75 and 470,192.25 is: 719,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,224.75 : 470,192.25 = 470,192.25 : x
  2. Step 2: Convert to fraction form
    307,224.75/470,192.25 = 470,192.25/x
  3. Step 3: Cross multiply
    307,224.75x = 470,192.25 × 470,192.25
  4. Step 4: Simplify right side
    307,224.75x = 221,080,751,960.06
  5. Step 5: Solve for x
    x = 221,080,751,960.06/307,224.75
  6. Step 6: Final answer
    x = 719,605.93

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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.