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Finding the Third Proportional to 217,903.69 and 474,403.88

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Solution

The third proportional to 217,903.69 and 474,403.88 is: 1,032,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,903.69 : 474,403.88 = 474,403.88 : x
  2. Step 2: Convert to fraction form
    217,903.69/474,403.88 = 474,403.88/x
  3. Step 3: Cross multiply
    217,903.69x = 474,403.88 × 474,403.88
  4. Step 4: Simplify right side
    217,903.69x = 225,059,036,615.02
  5. Step 5: Solve for x
    x = 225,059,036,615.02/217,903.69
  6. Step 6: Final answer
    x = 1,032,837.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.