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Finding the Third Proportional to 227,850.38 and 498,590.63

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Solution

The third proportional to 227,850.38 and 498,590.63 is: 1,091,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,850.38 : 498,590.63 = 498,590.63 : x
  2. Step 2: Convert to fraction form
    227,850.38/498,590.63 = 498,590.63/x
  3. Step 3: Cross multiply
    227,850.38x = 498,590.63 × 498,590.63
  4. Step 4: Simplify right side
    227,850.38x = 248,592,611,337.89
  5. Step 5: Solve for x
    x = 248,592,611,337.89/227,850.38
  6. Step 6: Final answer
    x = 1,091,034.46

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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.