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Finding the Third Proportional to 579,452 and 852,423

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Solution

The third proportional to 579,452 and 852,423 is: 1,253,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,452 : 852,423 = 852,423 : x
  2. Step 2: Convert to fraction form
    579,452/852,423 = 852,423/x
  3. Step 3: Cross multiply
    579,452x = 852,423 × 852,423
  4. Step 4: Simplify right side
    579,452x = 726,624,970,929
  5. Step 5: Solve for x
    x = 726,624,970,929/579,452
  6. Step 6: Final answer
    x = 1,253,986.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.