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Finding the Third Proportional to 215,528.50 and 471,827

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Solution

The third proportional to 215,528.50 and 471,827 is: 1,032,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,528.50 : 471,827 = 471,827 : x
  2. Step 2: Convert to fraction form
    215,528.50/471,827 = 471,827/x
  3. Step 3: Cross multiply
    215,528.50x = 471,827 × 471,827
  4. Step 4: Simplify right side
    215,528.50x = 222,620,717,929
  5. Step 5: Solve for x
    x = 222,620,717,929/215,528.50
  6. Step 6: Final answer
    x = 1,032,906.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.