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Finding the Third Proportional to 314,614 and 681,704

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Solution

The third proportional to 314,614 and 681,704 is: 1,477,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,614 : 681,704 = 681,704 : x
  2. Step 2: Convert to fraction form
    314,614/681,704 = 681,704/x
  3. Step 3: Cross multiply
    314,614x = 681,704 × 681,704
  4. Step 4: Simplify right side
    314,614x = 464,720,343,616
  5. Step 5: Solve for x
    x = 464,720,343,616/314,614
  6. Step 6: Final answer
    x = 1,477,112.73

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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.