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Finding the Third Proportional to 314,666 and 681,802

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Solution

The third proportional to 314,666 and 681,802 is: 1,477,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,666 : 681,802 = 681,802 : x
  2. Step 2: Convert to fraction form
    314,666/681,802 = 681,802/x
  3. Step 3: Cross multiply
    314,666x = 681,802 × 681,802
  4. Step 4: Simplify right side
    314,666x = 464,853,967,204
  5. Step 5: Solve for x
    x = 464,853,967,204/314,666
  6. Step 6: Final answer
    x = 1,477,293.28

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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.