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Finding the Third Proportional to 348,975 and 768,654

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Solution

The third proportional to 348,975 and 768,654 is: 1,693,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,975 : 768,654 = 768,654 : x
  2. Step 2: Convert to fraction form
    348,975/768,654 = 768,654/x
  3. Step 3: Cross multiply
    348,975x = 768,654 × 768,654
  4. Step 4: Simplify right side
    348,975x = 590,828,971,716
  5. Step 5: Solve for x
    x = 590,828,971,716/348,975
  6. Step 6: Final answer
    x = 1,693,040.97

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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.