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Finding the Third Proportional to 372,741.75 and 598,033.13

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Solution

The third proportional to 372,741.75 and 598,033.13 is: 959,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,741.75 : 598,033.13 = 598,033.13 : x
  2. Step 2: Convert to fraction form
    372,741.75/598,033.13 = 598,033.13/x
  3. Step 3: Cross multiply
    372,741.75x = 598,033.13 × 598,033.13
  4. Step 4: Simplify right side
    372,741.75x = 357,643,618,597.27
  5. Step 5: Solve for x
    x = 357,643,618,597.27/372,741.75
  6. Step 6: Final answer
    x = 959,494.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.