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Finding the Third Proportional to 335,726 and 686,965

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Solution

The third proportional to 335,726 and 686,965 is: 1,405,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,726 : 686,965 = 686,965 : x
  2. Step 2: Convert to fraction form
    335,726/686,965 = 686,965/x
  3. Step 3: Cross multiply
    335,726x = 686,965 × 686,965
  4. Step 4: Simplify right side
    335,726x = 471,920,911,225
  5. Step 5: Solve for x
    x = 471,920,911,225/335,726
  6. Step 6: Final answer
    x = 1,405,672.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.