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Finding the Third Proportional to 230,024 and 500,548

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Solution

The third proportional to 230,024 and 500,548 is: 1,089,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,024 : 500,548 = 500,548 : x
  2. Step 2: Convert to fraction form
    230,024/500,548 = 500,548/x
  3. Step 3: Cross multiply
    230,024x = 500,548 × 500,548
  4. Step 4: Simplify right side
    230,024x = 250,548,300,304
  5. Step 5: Solve for x
    x = 250,548,300,304/230,024
  6. Step 6: Final answer
    x = 1,089,226.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.