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Finding the Third Proportional to 367,236 and 778,578

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Solution

The third proportional to 367,236 and 778,578 is: 1,650,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,236 : 778,578 = 778,578 : x
  2. Step 2: Convert to fraction form
    367,236/778,578 = 778,578/x
  3. Step 3: Cross multiply
    367,236x = 778,578 × 778,578
  4. Step 4: Simplify right side
    367,236x = 606,183,702,084
  5. Step 5: Solve for x
    x = 606,183,702,084/367,236
  6. Step 6: Final answer
    x = 1,650,665.25

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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.