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Finding the Third Proportional to 305,845.88 and 470,313.84

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Solution

The third proportional to 305,845.88 and 470,313.84 is: 723,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,845.88 : 470,313.84 = 470,313.84 : x
  2. Step 2: Convert to fraction form
    305,845.88/470,313.84 = 470,313.84/x
  3. Step 3: Cross multiply
    305,845.88x = 470,313.84 × 470,313.84
  4. Step 4: Simplify right side
    305,845.88x = 221,195,111,622.90
  5. Step 5: Solve for x
    x = 221,195,111,622.90/305,845.88
  6. Step 6: Final answer
    x = 723,224.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.