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Finding the Third Proportional to 320,091 and 699,240

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Solution

The third proportional to 320,091 and 699,240 is: 1,527,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,091 : 699,240 = 699,240 : x
  2. Step 2: Convert to fraction form
    320,091/699,240 = 699,240/x
  3. Step 3: Cross multiply
    320,091x = 699,240 × 699,240
  4. Step 4: Simplify right side
    320,091x = 488,936,577,600
  5. Step 5: Solve for x
    x = 488,936,577,600/320,091
  6. Step 6: Final answer
    x = 1,527,492.42

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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.