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Finding the Third Proportional to 245,904 and 500,824

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Solution

The third proportional to 245,904 and 500,824 is: 1,020,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,904 : 500,824 = 500,824 : x
  2. Step 2: Convert to fraction form
    245,904/500,824 = 500,824/x
  3. Step 3: Cross multiply
    245,904x = 500,824 × 500,824
  4. Step 4: Simplify right side
    245,904x = 250,824,678,976
  5. Step 5: Solve for x
    x = 250,824,678,976/245,904
  6. Step 6: Final answer
    x = 1,020,010.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.