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Finding the Third Proportional to 367,532 and 589,692

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Solution

The third proportional to 367,532 and 589,692 is: 946,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,532 : 589,692 = 589,692 : x
  2. Step 2: Convert to fraction form
    367,532/589,692 = 589,692/x
  3. Step 3: Cross multiply
    367,532x = 589,692 × 589,692
  4. Step 4: Simplify right side
    367,532x = 347,736,654,864
  5. Step 5: Solve for x
    x = 347,736,654,864/367,532
  6. Step 6: Final answer
    x = 946,139.81

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