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Finding the Third Proportional to 245,682 and 532,836

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Solution

The third proportional to 245,682 and 532,836 is: 1,155,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,682 : 532,836 = 532,836 : x
  2. Step 2: Convert to fraction form
    245,682/532,836 = 532,836/x
  3. Step 3: Cross multiply
    245,682x = 532,836 × 532,836
  4. Step 4: Simplify right side
    245,682x = 283,914,202,896
  5. Step 5: Solve for x
    x = 283,914,202,896/245,682
  6. Step 6: Final answer
    x = 1,155,616.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.