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Finding the Third Proportional to 311,076 and 669,969

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Solution

The third proportional to 311,076 and 669,969 is: 1,442,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,076 : 669,969 = 669,969 : x
  2. Step 2: Convert to fraction form
    311,076/669,969 = 669,969/x
  3. Step 3: Cross multiply
    311,076x = 669,969 × 669,969
  4. Step 4: Simplify right side
    311,076x = 448,858,460,961
  5. Step 5: Solve for x
    x = 448,858,460,961/311,076
  6. Step 6: Final answer
    x = 1,442,922.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.