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Finding the Third Proportional to 335,715 and 686,943

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Solution

The third proportional to 335,715 and 686,943 is: 1,405,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,715 : 686,943 = 686,943 : x
  2. Step 2: Convert to fraction form
    335,715/686,943 = 686,943/x
  3. Step 3: Cross multiply
    335,715x = 686,943 × 686,943
  4. Step 4: Simplify right side
    335,715x = 471,890,685,249
  5. Step 5: Solve for x
    x = 471,890,685,249/335,715
  6. Step 6: Final answer
    x = 1,405,628.84

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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.