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Finding the Third Proportional to 350,692 and 766,988

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Solution

The third proportional to 350,692 and 766,988 is: 1,677,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,692 : 766,988 = 766,988 : x
  2. Step 2: Convert to fraction form
    350,692/766,988 = 766,988/x
  3. Step 3: Cross multiply
    350,692x = 766,988 × 766,988
  4. Step 4: Simplify right side
    350,692x = 588,270,592,144
  5. Step 5: Solve for x
    x = 588,270,592,144/350,692
  6. Step 6: Final answer
    x = 1,677,456.55

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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.