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Finding the Third Proportional to 335,909 and 737,347

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Solution

The third proportional to 335,909 and 737,347 is: 1,618,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,909 : 737,347 = 737,347 : x
  2. Step 2: Convert to fraction form
    335,909/737,347 = 737,347/x
  3. Step 3: Cross multiply
    335,909x = 737,347 × 737,347
  4. Step 4: Simplify right side
    335,909x = 543,680,598,409
  5. Step 5: Solve for x
    x = 543,680,598,409/335,909
  6. Step 6: Final answer
    x = 1,618,535.37

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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.