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Finding the Third Proportional to 215,784 and 468,261

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Solution

The third proportional to 215,784 and 468,261 is: 1,016,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,784 : 468,261 = 468,261 : x
  2. Step 2: Convert to fraction form
    215,784/468,261 = 468,261/x
  3. Step 3: Cross multiply
    215,784x = 468,261 × 468,261
  4. Step 4: Simplify right side
    215,784x = 219,268,364,121
  5. Step 5: Solve for x
    x = 219,268,364,121/215,784
  6. Step 6: Final answer
    x = 1,016,147.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.