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Finding the Third Proportional to 315,314 and 677,284

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Solution

The third proportional to 315,314 and 677,284 is: 1,454,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,314 : 677,284 = 677,284 : x
  2. Step 2: Convert to fraction form
    315,314/677,284 = 677,284/x
  3. Step 3: Cross multiply
    315,314x = 677,284 × 677,284
  4. Step 4: Simplify right side
    315,314x = 458,713,616,656
  5. Step 5: Solve for x
    x = 458,713,616,656/315,314
  6. Step 6: Final answer
    x = 1,454,783.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.