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Finding the Third Proportional to 390,523.50 and 791,901

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Solution

The third proportional to 390,523.50 and 791,901 is: 1,605,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,523.50 : 791,901 = 791,901 : x
  2. Step 2: Convert to fraction form
    390,523.50/791,901 = 791,901/x
  3. Step 3: Cross multiply
    390,523.50x = 791,901 × 791,901
  4. Step 4: Simplify right side
    390,523.50x = 627,107,193,801
  5. Step 5: Solve for x
    x = 627,107,193,801/390,523.50
  6. Step 6: Final answer
    x = 1,605,811.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.