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Finding the Third Proportional to 228,333.94 and 516,430.69

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Solution

The third proportional to 228,333.94 and 516,430.69 is: 1,168,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,333.94 : 516,430.69 = 516,430.69 : x
  2. Step 2: Convert to fraction form
    228,333.94/516,430.69 = 516,430.69/x
  3. Step 3: Cross multiply
    228,333.94x = 516,430.69 × 516,430.69
  4. Step 4: Simplify right side
    228,333.94x = 266,700,654,991.72
  5. Step 5: Solve for x
    x = 266,700,654,991.72/228,333.94
  6. Step 6: Final answer
    x = 1,168,028.98

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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.