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Finding the Third Proportional to 335,771 and 709,084

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Solution

The third proportional to 335,771 and 709,084 is: 1,497,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,771 : 709,084 = 709,084 : x
  2. Step 2: Convert to fraction form
    335,771/709,084 = 709,084/x
  3. Step 3: Cross multiply
    335,771x = 709,084 × 709,084
  4. Step 4: Simplify right side
    335,771x = 502,800,119,056
  5. Step 5: Solve for x
    x = 502,800,119,056/335,771
  6. Step 6: Final answer
    x = 1,497,449.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.