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Finding the Third Proportional to 296,745 and 628,806

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Solution

The third proportional to 296,745 and 628,806 is: 1,332,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,745 : 628,806 = 628,806 : x
  2. Step 2: Convert to fraction form
    296,745/628,806 = 628,806/x
  3. Step 3: Cross multiply
    296,745x = 628,806 × 628,806
  4. Step 4: Simplify right side
    296,745x = 395,396,985,636
  5. Step 5: Solve for x
    x = 395,396,985,636/296,745
  6. Step 6: Final answer
    x = 1,332,447.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.