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Finding the Third Proportional to 314,086 and 690,380

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Solution

The third proportional to 314,086 and 690,380 is: 1,517,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,086 : 690,380 = 690,380 : x
  2. Step 2: Convert to fraction form
    314,086/690,380 = 690,380/x
  3. Step 3: Cross multiply
    314,086x = 690,380 × 690,380
  4. Step 4: Simplify right side
    314,086x = 476,624,544,400
  5. Step 5: Solve for x
    x = 476,624,544,400/314,086
  6. Step 6: Final answer
    x = 1,517,496.94

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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.