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Finding the Third Proportional to 314,586 and 681,651

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Solution

The third proportional to 314,586 and 681,651 is: 1,477,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,586 : 681,651 = 681,651 : x
  2. Step 2: Convert to fraction form
    314,586/681,651 = 681,651/x
  3. Step 3: Cross multiply
    314,586x = 681,651 × 681,651
  4. Step 4: Simplify right side
    314,586x = 464,648,085,801
  5. Step 5: Solve for x
    x = 464,648,085,801/314,586
  6. Step 6: Final answer
    x = 1,477,014.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.