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Finding the Third Proportional to 245,676 and 532,824

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Solution

The third proportional to 245,676 and 532,824 is: 1,155,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,676 : 532,824 = 532,824 : x
  2. Step 2: Convert to fraction form
    245,676/532,824 = 532,824/x
  3. Step 3: Cross multiply
    245,676x = 532,824 × 532,824
  4. Step 4: Simplify right side
    245,676x = 283,901,414,976
  5. Step 5: Solve for x
    x = 283,901,414,976/245,676
  6. Step 6: Final answer
    x = 1,155,592.79

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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.