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Finding the Third Proportional to 367,082 and 778,228

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Solution

The third proportional to 367,082 and 778,228 is: 1,649,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,082 : 778,228 = 778,228 : x
  2. Step 2: Convert to fraction form
    367,082/778,228 = 778,228/x
  3. Step 3: Cross multiply
    367,082x = 778,228 × 778,228
  4. Step 4: Simplify right side
    367,082x = 605,638,819,984
  5. Step 5: Solve for x
    x = 605,638,819,984/367,082
  6. Step 6: Final answer
    x = 1,649,873.38

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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.