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Finding the Third Proportional to 229,771.69 and 498,772.69

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Solution

The third proportional to 229,771.69 and 498,772.69 is: 1,082,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,771.69 : 498,772.69 = 498,772.69 : x
  2. Step 2: Convert to fraction form
    229,771.69/498,772.69 = 498,772.69/x
  3. Step 3: Cross multiply
    229,771.69x = 498,772.69 × 498,772.69
  4. Step 4: Simplify right side
    229,771.69x = 248,774,193,795.97
  5. Step 5: Solve for x
    x = 248,774,193,795.97/229,771.69
  6. Step 6: Final answer
    x = 1,082,701.69

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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.