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Finding the Third Proportional to 318,654 and 693,504

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Solution

The third proportional to 318,654 and 693,504 is: 1,509,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,654 : 693,504 = 693,504 : x
  2. Step 2: Convert to fraction form
    318,654/693,504 = 693,504/x
  3. Step 3: Cross multiply
    318,654x = 693,504 × 693,504
  4. Step 4: Simplify right side
    318,654x = 480,947,798,016
  5. Step 5: Solve for x
    x = 480,947,798,016/318,654
  6. Step 6: Final answer
    x = 1,509,310.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.