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Finding the Third Proportional to 230,042 and 500,582

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Solution

The third proportional to 230,042 and 500,582 is: 1,089,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,042 : 500,582 = 500,582 : x
  2. Step 2: Convert to fraction form
    230,042/500,582 = 500,582/x
  3. Step 3: Cross multiply
    230,042x = 500,582 × 500,582
  4. Step 4: Simplify right side
    230,042x = 250,582,338,724
  5. Step 5: Solve for x
    x = 250,582,338,724/230,042
  6. Step 6: Final answer
    x = 1,089,289.52

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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.