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Finding the Third Proportional to 307,223.25 and 470,190.38

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Solution

The third proportional to 307,223.25 and 470,190.38 is: 719,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,223.25 : 470,190.38 = 470,190.38 : x
  2. Step 2: Convert to fraction form
    307,223.25/470,190.38 = 470,190.38/x
  3. Step 3: Cross multiply
    307,223.25x = 470,190.38 × 470,190.38
  4. Step 4: Simplify right side
    307,223.25x = 221,078,988,742.64
  5. Step 5: Solve for x
    x = 221,078,988,742.64/307,223.25
  6. Step 6: Final answer
    x = 719,603.70

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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.