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Finding the Third Proportional to 320,684 and 692,720

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Solution

The third proportional to 320,684 and 692,720 is: 1,496,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,684 : 692,720 = 692,720 : x
  2. Step 2: Convert to fraction form
    320,684/692,720 = 692,720/x
  3. Step 3: Cross multiply
    320,684x = 692,720 × 692,720
  4. Step 4: Simplify right side
    320,684x = 479,860,998,400
  5. Step 5: Solve for x
    x = 479,860,998,400/320,684
  6. Step 6: Final answer
    x = 1,496,367.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.