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Finding the Third Proportional to 228,450.38 and 499,182.75

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Solution

The third proportional to 228,450.38 and 499,182.75 is: 1,090,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,450.38 : 499,182.75 = 499,182.75 : x
  2. Step 2: Convert to fraction form
    228,450.38/499,182.75 = 499,182.75/x
  3. Step 3: Cross multiply
    228,450.38x = 499,182.75 × 499,182.75
  4. Step 4: Simplify right side
    228,450.38x = 249,183,417,897.56
  5. Step 5: Solve for x
    x = 249,183,417,897.56/228,450.38
  6. Step 6: Final answer
    x = 1,090,755.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.