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Finding the Third Proportional to 600,190 and 929,035

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Solution

The third proportional to 600,190 and 929,035 is: 1,438,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,190 : 929,035 = 929,035 : x
  2. Step 2: Convert to fraction form
    600,190/929,035 = 929,035/x
  3. Step 3: Cross multiply
    600,190x = 929,035 × 929,035
  4. Step 4: Simplify right side
    600,190x = 863,106,031,225
  5. Step 5: Solve for x
    x = 863,106,031,225/600,190
  6. Step 6: Final answer
    x = 1,438,054.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.