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Finding the Third Proportional to 579,792 and 844,494

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Solution

The third proportional to 579,792 and 844,494 is: 1,230,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,792 : 844,494 = 844,494 : x
  2. Step 2: Convert to fraction form
    579,792/844,494 = 844,494/x
  3. Step 3: Cross multiply
    579,792x = 844,494 × 844,494
  4. Step 4: Simplify right side
    579,792x = 713,170,116,036
  5. Step 5: Solve for x
    x = 713,170,116,036/579,792
  6. Step 6: Final answer
    x = 1,230,044.77

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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.