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Finding the Third Proportional to 342,814 and 738,306

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Solution

The third proportional to 342,814 and 738,306 is: 1,590,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,814 : 738,306 = 738,306 : x
  2. Step 2: Convert to fraction form
    342,814/738,306 = 738,306/x
  3. Step 3: Cross multiply
    342,814x = 738,306 × 738,306
  4. Step 4: Simplify right side
    342,814x = 545,095,749,636
  5. Step 5: Solve for x
    x = 545,095,749,636/342,814
  6. Step 6: Final answer
    x = 1,590,062.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.