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Finding the Third Proportional to 339,279.26 and 706,476.94

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Solution

The third proportional to 339,279.26 and 706,476.94 is: 1,471,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,279.26 : 706,476.94 = 706,476.94 : x
  2. Step 2: Convert to fraction form
    339,279.26/706,476.94 = 706,476.94/x
  3. Step 3: Cross multiply
    339,279.26x = 706,476.94 × 706,476.94
  4. Step 4: Simplify right side
    339,279.26x = 499,109,663,219.38
  5. Step 5: Solve for x
    x = 499,109,663,219.38/339,279.26
  6. Step 6: Final answer
    x = 1,471,088.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.