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Finding the Third Proportional to 366,750 and 561,024

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Solution

The third proportional to 366,750 and 561,024 is: 858,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,750 : 561,024 = 561,024 : x
  2. Step 2: Convert to fraction form
    366,750/561,024 = 561,024/x
  3. Step 3: Cross multiply
    366,750x = 561,024 × 561,024
  4. Step 4: Simplify right side
    366,750x = 314,747,928,576
  5. Step 5: Solve for x
    x = 314,747,928,576/366,750
  6. Step 6: Final answer
    x = 858,208.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.