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Finding the Third Proportional to 302,844 and 655,839.75

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Solution

The third proportional to 302,844 and 655,839.75 is: 1,420,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844 : 655,839.75 = 655,839.75 : x
  2. Step 2: Convert to fraction form
    302,844/655,839.75 = 655,839.75/x
  3. Step 3: Cross multiply
    302,844x = 655,839.75 × 655,839.75
  4. Step 4: Simplify right side
    302,844x = 430,125,777,680.06
  5. Step 5: Solve for x
    x = 430,125,777,680.06/302,844
  6. Step 6: Final answer
    x = 1,420,288.26

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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.