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Finding the Third Proportional to 215,924 and 474,360

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Solution

The third proportional to 215,924 and 474,360 is: 1,042,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,924 : 474,360 = 474,360 : x
  2. Step 2: Convert to fraction form
    215,924/474,360 = 474,360/x
  3. Step 3: Cross multiply
    215,924x = 474,360 × 474,360
  4. Step 4: Simplify right side
    215,924x = 225,017,409,600
  5. Step 5: Solve for x
    x = 225,017,409,600/215,924
  6. Step 6: Final answer
    x = 1,042,113.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.