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Finding the Third Proportional to 237,769 and 483,842

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Solution

The third proportional to 237,769 and 483,842 is: 984,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,769 : 483,842 = 483,842 : x
  2. Step 2: Convert to fraction form
    237,769/483,842 = 483,842/x
  3. Step 3: Cross multiply
    237,769x = 483,842 × 483,842
  4. Step 4: Simplify right side
    237,769x = 234,103,080,964
  5. Step 5: Solve for x
    x = 234,103,080,964/237,769
  6. Step 6: Final answer
    x = 984,582.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.