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Finding the Third Proportional to 326,720 and 693,094

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Solution

The third proportional to 326,720 and 693,094 is: 1,470,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,720 : 693,094 = 693,094 : x
  2. Step 2: Convert to fraction form
    326,720/693,094 = 693,094/x
  3. Step 3: Cross multiply
    326,720x = 693,094 × 693,094
  4. Step 4: Simplify right side
    326,720x = 480,379,292,836
  5. Step 5: Solve for x
    x = 480,379,292,836/326,720
  6. Step 6: Final answer
    x = 1,470,308.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.