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Finding the Third Proportional to 307,224.56 and 470,189.81

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Solution

The third proportional to 307,224.56 and 470,189.81 is: 719,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,224.56 : 470,189.81 = 470,189.81 : x
  2. Step 2: Convert to fraction form
    307,224.56/470,189.81 = 470,189.81/x
  3. Step 3: Cross multiply
    307,224.56x = 470,189.81 × 470,189.81
  4. Step 4: Simplify right side
    307,224.56x = 221,078,459,778.79
  5. Step 5: Solve for x
    x = 221,078,459,778.79/307,224.56
  6. Step 6: Final answer
    x = 719,598.91

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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.