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Finding the Third Proportional to 326,786 and 683,498

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Solution

The third proportional to 326,786 and 683,498 is: 1,429,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,786 : 683,498 = 683,498 : x
  2. Step 2: Convert to fraction form
    326,786/683,498 = 683,498/x
  3. Step 3: Cross multiply
    326,786x = 683,498 × 683,498
  4. Step 4: Simplify right side
    326,786x = 467,169,516,004
  5. Step 5: Solve for x
    x = 467,169,516,004/326,786
  6. Step 6: Final answer
    x = 1,429,588.53

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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.