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Finding the Third Proportional to 326,800 and 683,536

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Solution

The third proportional to 326,800 and 683,536 is: 1,429,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,800 : 683,536 = 683,536 : x
  2. Step 2: Convert to fraction form
    326,800/683,536 = 683,536/x
  3. Step 3: Cross multiply
    326,800x = 683,536 × 683,536
  4. Step 4: Simplify right side
    326,800x = 467,221,463,296
  5. Step 5: Solve for x
    x = 467,221,463,296/326,800
  6. Step 6: Final answer
    x = 1,429,686.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.