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Finding the Third Proportional to 561,228.75 and 855,852.75

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Solution

The third proportional to 561,228.75 and 855,852.75 is: 1,305,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,228.75 : 855,852.75 = 855,852.75 : x
  2. Step 2: Convert to fraction form
    561,228.75/855,852.75 = 855,852.75/x
  3. Step 3: Cross multiply
    561,228.75x = 855,852.75 × 855,852.75
  4. Step 4: Simplify right side
    561,228.75x = 732,483,929,682.56
  5. Step 5: Solve for x
    x = 732,483,929,682.56/561,228.75
  6. Step 6: Final answer
    x = 1,305,143.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.