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Finding the Third Proportional to 367,056 and 778,177

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Solution

The third proportional to 367,056 and 778,177 is: 1,649,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056 : 778,177 = 778,177 : x
  2. Step 2: Convert to fraction form
    367,056/778,177 = 778,177/x
  3. Step 3: Cross multiply
    367,056x = 778,177 × 778,177
  4. Step 4: Simplify right side
    367,056x = 605,559,443,329
  5. Step 5: Solve for x
    x = 605,559,443,329/367,056
  6. Step 6: Final answer
    x = 1,649,773.99

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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.