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Finding the Third Proportional to 301,047.75 and 412,814.25

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Solution

The third proportional to 301,047.75 and 412,814.25 is: 566,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,047.75 : 412,814.25 = 412,814.25 : x
  2. Step 2: Convert to fraction form
    301,047.75/412,814.25 = 412,814.25/x
  3. Step 3: Cross multiply
    301,047.75x = 412,814.25 × 412,814.25
  4. Step 4: Simplify right side
    301,047.75x = 170,415,605,003.06
  5. Step 5: Solve for x
    x = 170,415,605,003.06/301,047.75
  6. Step 6: Final answer
    x = 566,075.00

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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.