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Finding the Third Proportional to 554,016 and 792,174

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Solution

The third proportional to 554,016 and 792,174 is: 1,132,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,016 : 792,174 = 792,174 : x
  2. Step 2: Convert to fraction form
    554,016/792,174 = 792,174/x
  3. Step 3: Cross multiply
    554,016x = 792,174 × 792,174
  4. Step 4: Simplify right side
    554,016x = 627,539,646,276
  5. Step 5: Solve for x
    x = 627,539,646,276/554,016
  6. Step 6: Final answer
    x = 1,132,710.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.