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Finding the Third Proportional to 335,703 and 686,917.50

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Solution

The third proportional to 335,703 and 686,917.50 is: 1,405,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,703 : 686,917.50 = 686,917.50 : x
  2. Step 2: Convert to fraction form
    335,703/686,917.50 = 686,917.50/x
  3. Step 3: Cross multiply
    335,703x = 686,917.50 × 686,917.50
  4. Step 4: Simplify right side
    335,703x = 471,855,651,806.25
  5. Step 5: Solve for x
    x = 471,855,651,806.25/335,703
  6. Step 6: Final answer
    x = 1,405,574.72

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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.