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Finding the Third Proportional to 301,063.50 and 412,825.36

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Solution

The third proportional to 301,063.50 and 412,825.36 is: 566,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,063.50 : 412,825.36 = 412,825.36 : x
  2. Step 2: Convert to fraction form
    301,063.50/412,825.36 = 412,825.36/x
  3. Step 3: Cross multiply
    301,063.50x = 412,825.36 × 412,825.36
  4. Step 4: Simplify right side
    301,063.50x = 170,424,777,343.10
  5. Step 5: Solve for x
    x = 170,424,777,343.10/301,063.50
  6. Step 6: Final answer
    x = 566,075.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.