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Finding the Third Proportional to 314,286 and 678,372

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Solution

The third proportional to 314,286 and 678,372 is: 1,464,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,286 : 678,372 = 678,372 : x
  2. Step 2: Convert to fraction form
    314,286/678,372 = 678,372/x
  3. Step 3: Cross multiply
    314,286x = 678,372 × 678,372
  4. Step 4: Simplify right side
    314,286x = 460,188,570,384
  5. Step 5: Solve for x
    x = 460,188,570,384/314,286
  6. Step 6: Final answer
    x = 1,464,235.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.