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Finding the Third Proportional to 393,625 and 626,638.50

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Solution

The third proportional to 393,625 and 626,638.50 is: 997,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,625 : 626,638.50 = 626,638.50 : x
  2. Step 2: Convert to fraction form
    393,625/626,638.50 = 626,638.50/x
  3. Step 3: Cross multiply
    393,625x = 626,638.50 × 626,638.50
  4. Step 4: Simplify right side
    393,625x = 392,675,809,682.25
  5. Step 5: Solve for x
    x = 392,675,809,682.25/393,625
  6. Step 6: Final answer
    x = 997,588.59

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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.