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Finding the Third Proportional to 314,489 and 690,756

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Solution

The third proportional to 314,489 and 690,756 is: 1,517,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,489 : 690,756 = 690,756 : x
  2. Step 2: Convert to fraction form
    314,489/690,756 = 690,756/x
  3. Step 3: Cross multiply
    314,489x = 690,756 × 690,756
  4. Step 4: Simplify right side
    314,489x = 477,143,851,536
  5. Step 5: Solve for x
    x = 477,143,851,536/314,489
  6. Step 6: Final answer
    x = 1,517,203.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.