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Finding the Third Proportional to 339,033 and 745,863

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Solution

The third proportional to 339,033 and 745,863 is: 1,640,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,033 : 745,863 = 745,863 : x
  2. Step 2: Convert to fraction form
    339,033/745,863 = 745,863/x
  3. Step 3: Cross multiply
    339,033x = 745,863 × 745,863
  4. Step 4: Simplify right side
    339,033x = 556,311,614,769
  5. Step 5: Solve for x
    x = 556,311,614,769/339,033
  6. Step 6: Final answer
    x = 1,640,877.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.