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Finding the Third Proportional to 302,826 and 655,815

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Solution

The third proportional to 302,826 and 655,815 is: 1,420,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,826 : 655,815 = 655,815 : x
  2. Step 2: Convert to fraction form
    302,826/655,815 = 655,815/x
  3. Step 3: Cross multiply
    302,826x = 655,815 × 655,815
  4. Step 4: Simplify right side
    302,826x = 430,093,314,225
  5. Step 5: Solve for x
    x = 430,093,314,225/302,826
  6. Step 6: Final answer
    x = 1,420,265.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.