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Finding the Third Proportional to 326,788 and 683,502

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Solution

The third proportional to 326,788 and 683,502 is: 1,429,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,788 : 683,502 = 683,502 : x
  2. Step 2: Convert to fraction form
    326,788/683,502 = 683,502/x
  3. Step 3: Cross multiply
    326,788x = 683,502 × 683,502
  4. Step 4: Simplify right side
    326,788x = 467,174,984,004
  5. Step 5: Solve for x
    x = 467,174,984,004/326,788
  6. Step 6: Final answer
    x = 1,429,596.51

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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.