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Finding the Third Proportional to 348,538 and 762,684

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Solution

The third proportional to 348,538 and 762,684 is: 1,668,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,538 : 762,684 = 762,684 : x
  2. Step 2: Convert to fraction form
    348,538/762,684 = 762,684/x
  3. Step 3: Cross multiply
    348,538x = 762,684 × 762,684
  4. Step 4: Simplify right side
    348,538x = 581,686,883,856
  5. Step 5: Solve for x
    x = 581,686,883,856/348,538
  6. Step 6: Final answer
    x = 1,668,933.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.