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Finding the Third Proportional to 339,495 and 706,873

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Solution

The third proportional to 339,495 and 706,873 is: 1,471,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,495 : 706,873 = 706,873 : x
  2. Step 2: Convert to fraction form
    339,495/706,873 = 706,873/x
  3. Step 3: Cross multiply
    339,495x = 706,873 × 706,873
  4. Step 4: Simplify right side
    339,495x = 499,669,438,129
  5. Step 5: Solve for x
    x = 499,669,438,129/339,495
  6. Step 6: Final answer
    x = 1,471,802.05

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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.