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Finding the Third Proportional to 328,063.50 and 474,113.25

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Solution

The third proportional to 328,063.50 and 474,113.25 is: 685,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,063.50 : 474,113.25 = 474,113.25 : x
  2. Step 2: Convert to fraction form
    328,063.50/474,113.25 = 474,113.25/x
  3. Step 3: Cross multiply
    328,063.50x = 474,113.25 × 474,113.25
  4. Step 4: Simplify right side
    328,063.50x = 224,783,373,825.56
  5. Step 5: Solve for x
    x = 224,783,373,825.56/328,063.50
  6. Step 6: Final answer
    x = 685,182.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.