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Finding the Third Proportional to 368,136 and 788,760

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Solution

The third proportional to 368,136 and 788,760 is: 1,689,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,136 : 788,760 = 788,760 : x
  2. Step 2: Convert to fraction form
    368,136/788,760 = 788,760/x
  3. Step 3: Cross multiply
    368,136x = 788,760 × 788,760
  4. Step 4: Simplify right side
    368,136x = 622,142,337,600
  5. Step 5: Solve for x
    x = 622,142,337,600/368,136
  6. Step 6: Final answer
    x = 1,689,979.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.