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Finding the Third Proportional to 519,162 and 759,033

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Solution

The third proportional to 519,162 and 759,033 is: 1,109,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,162 : 759,033 = 759,033 : x
  2. Step 2: Convert to fraction form
    519,162/759,033 = 759,033/x
  3. Step 3: Cross multiply
    519,162x = 759,033 × 759,033
  4. Step 4: Simplify right side
    519,162x = 576,131,095,089
  5. Step 5: Solve for x
    x = 576,131,095,089/519,162
  6. Step 6: Final answer
    x = 1,109,732.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.