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Finding the Third Proportional to 335,116 and 693,560

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Solution

The third proportional to 335,116 and 693,560 is: 1,435,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,116 : 693,560 = 693,560 : x
  2. Step 2: Convert to fraction form
    335,116/693,560 = 693,560/x
  3. Step 3: Cross multiply
    335,116x = 693,560 × 693,560
  4. Step 4: Simplify right side
    335,116x = 481,025,473,600
  5. Step 5: Solve for x
    x = 481,025,473,600/335,116
  6. Step 6: Final answer
    x = 1,435,399.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.