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Finding the Third Proportional to 302,824 and 655,807

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Solution

The third proportional to 302,824 and 655,807 is: 1,420,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,824 : 655,807 = 655,807 : x
  2. Step 2: Convert to fraction form
    302,824/655,807 = 655,807/x
  3. Step 3: Cross multiply
    302,824x = 655,807 × 655,807
  4. Step 4: Simplify right side
    302,824x = 430,082,821,249
  5. Step 5: Solve for x
    x = 430,082,821,249/302,824
  6. Step 6: Final answer
    x = 1,420,240.21

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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.