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Finding the Third Proportional to 368,016 and 788,496

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Solution

The third proportional to 368,016 and 788,496 is: 1,689,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,016 : 788,496 = 788,496 : x
  2. Step 2: Convert to fraction form
    368,016/788,496 = 788,496/x
  3. Step 3: Cross multiply
    368,016x = 788,496 × 788,496
  4. Step 4: Simplify right side
    368,016x = 621,725,942,016
  5. Step 5: Solve for x
    x = 621,725,942,016/368,016
  6. Step 6: Final answer
    x = 1,689,399.22

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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.