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Finding the Third Proportional to 373.99 and 858.41

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Solution

The third proportional to 373.99 and 858.41 is: 1,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.99 : 858.41 = 858.41 : x
  2. Step 2: Convert to fraction form
    373.99/858.41 = 858.41/x
  3. Step 3: Cross multiply
    373.99x = 858.41 × 858.41
  4. Step 4: Simplify right side
    373.99x = 736,868.00
  5. Step 5: Solve for x
    x = 736,868.00/373.99
  6. Step 6: Final answer
    x = 1,970.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.