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Finding the Third Proportional to 309,710.25 and 685,749.38

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Solution

The third proportional to 309,710.25 and 685,749.38 is: 1,518,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,710.25 : 685,749.38 = 685,749.38 : x
  2. Step 2: Convert to fraction form
    309,710.25/685,749.38 = 685,749.38/x
  3. Step 3: Cross multiply
    309,710.25x = 685,749.38 × 685,749.38
  4. Step 4: Simplify right side
    309,710.25x = 470,252,205,312.89
  5. Step 5: Solve for x
    x = 470,252,205,312.89/309,710.25
  6. Step 6: Final answer
    x = 1,518,361.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.