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Finding the Third Proportional to 389,715 and 620,591

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Solution

The third proportional to 389,715 and 620,591 is: 988,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,715 : 620,591 = 620,591 : x
  2. Step 2: Convert to fraction form
    389,715/620,591 = 620,591/x
  3. Step 3: Cross multiply
    389,715x = 620,591 × 620,591
  4. Step 4: Simplify right side
    389,715x = 385,133,189,281
  5. Step 5: Solve for x
    x = 385,133,189,281/389,715
  6. Step 6: Final answer
    x = 988,243.18

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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.