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Finding the Third Proportional to 348,367.50 and 765,242.44

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Solution

The third proportional to 348,367.50 and 765,242.44 is: 1,680,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,367.50 : 765,242.44 = 765,242.44 : x
  2. Step 2: Convert to fraction form
    348,367.50/765,242.44 = 765,242.44/x
  3. Step 3: Cross multiply
    348,367.50x = 765,242.44 × 765,242.44
  4. Step 4: Simplify right side
    348,367.50x = 585,595,988,150.94
  5. Step 5: Solve for x
    x = 585,595,988,150.94/348,367.50
  6. Step 6: Final answer
    x = 1,680,971.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.