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Finding the Third Proportional to 371,901.75 and 589,686

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Solution

The third proportional to 371,901.75 and 589,686 is: 935,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,901.75 : 589,686 = 589,686 : x
  2. Step 2: Convert to fraction form
    371,901.75/589,686 = 589,686/x
  3. Step 3: Cross multiply
    371,901.75x = 589,686 × 589,686
  4. Step 4: Simplify right side
    371,901.75x = 347,729,578,596
  5. Step 5: Solve for x
    x = 347,729,578,596/371,901.75
  6. Step 6: Final answer
    x = 935,003.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.