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Finding the Third Proportional to 554,014 and 792,171

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Solution

The third proportional to 554,014 and 792,171 is: 1,132,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,014 : 792,171 = 792,171 : x
  2. Step 2: Convert to fraction form
    554,014/792,171 = 792,171/x
  3. Step 3: Cross multiply
    554,014x = 792,171 × 792,171
  4. Step 4: Simplify right side
    554,014x = 627,534,893,241
  5. Step 5: Solve for x
    x = 627,534,893,241/554,014
  6. Step 6: Final answer
    x = 1,132,705.84

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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.