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Finding the Third Proportional to 217,383.75 and 464,618.53

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Solution

The third proportional to 217,383.75 and 464,618.53 is: 993,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,383.75 : 464,618.53 = 464,618.53 : x
  2. Step 2: Convert to fraction form
    217,383.75/464,618.53 = 464,618.53/x
  3. Step 3: Cross multiply
    217,383.75x = 464,618.53 × 464,618.53
  4. Step 4: Simplify right side
    217,383.75x = 215,870,379,580.91
  5. Step 5: Solve for x
    x = 215,870,379,580.91/217,383.75
  6. Step 6: Final answer
    x = 993,038.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.