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Finding the Third Proportional to 367,162 and 778,364

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Solution

The third proportional to 367,162 and 778,364 is: 1,650,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,162 : 778,364 = 778,364 : x
  2. Step 2: Convert to fraction form
    367,162/778,364 = 778,364/x
  3. Step 3: Cross multiply
    367,162x = 778,364 × 778,364
  4. Step 4: Simplify right side
    367,162x = 605,850,516,496
  5. Step 5: Solve for x
    x = 605,850,516,496/367,162
  6. Step 6: Final answer
    x = 1,650,090.47

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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.