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Finding the Third Proportional to 342,339 and 738,806

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Solution

The third proportional to 342,339 and 738,806 is: 1,594,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,339 : 738,806 = 738,806 : x
  2. Step 2: Convert to fraction form
    342,339/738,806 = 738,806/x
  3. Step 3: Cross multiply
    342,339x = 738,806 × 738,806
  4. Step 4: Simplify right side
    342,339x = 545,834,305,636
  5. Step 5: Solve for x
    x = 545,834,305,636/342,339
  6. Step 6: Final answer
    x = 1,594,426.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.