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Finding the Third Proportional to 228,340.69 and 516,450.94

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Solution

The third proportional to 228,340.69 and 516,450.94 is: 1,168,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,340.69 : 516,450.94 = 516,450.94 : x
  2. Step 2: Convert to fraction form
    228,340.69/516,450.94 = 516,450.94/x
  3. Step 3: Cross multiply
    228,340.69x = 516,450.94 × 516,450.94
  4. Step 4: Simplify right side
    228,340.69x = 266,721,570,844.63
  5. Step 5: Solve for x
    x = 266,721,570,844.63/228,340.69
  6. Step 6: Final answer
    x = 1,168,086.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.