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Finding the Third Proportional to 305,050.50 and 463,794.75

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Solution

The third proportional to 305,050.50 and 463,794.75 is: 705,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,050.50 : 463,794.75 = 463,794.75 : x
  2. Step 2: Convert to fraction form
    305,050.50/463,794.75 = 463,794.75/x
  3. Step 3: Cross multiply
    305,050.50x = 463,794.75 × 463,794.75
  4. Step 4: Simplify right side
    305,050.50x = 215,105,570,127.56
  5. Step 5: Solve for x
    x = 215,105,570,127.56/305,050.50
  6. Step 6: Final answer
    x = 705,147.41

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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.