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Finding the Third Proportional to 554,250,845 and 774,875,305

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Solution

The third proportional to 554,250,845 and 774,875,305 is: 1,083,321,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,250,845 : 774,875,305 = 774,875,305 : x
  2. Step 2: Convert to fraction form
    554,250,845/774,875,305 = 774,875,305/x
  3. Step 3: Cross multiply
    554,250,845x = 774,875,305 × 774,875,305
  4. Step 4: Simplify right side
    554,250,845x = 600,431,738,298,843,008
  5. Step 5: Solve for x
    x = 600,431,738,298,843,008/554,250,845
  6. Step 6: Final answer
    x = 1,083,321,286.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.