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Finding the Third Proportional to 245,673 and 520,869

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Solution

The third proportional to 245,673 and 520,869 is: 1,104,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,673 : 520,869 = 520,869 : x
  2. Step 2: Convert to fraction form
    245,673/520,869 = 520,869/x
  3. Step 3: Cross multiply
    245,673x = 520,869 × 520,869
  4. Step 4: Simplify right side
    245,673x = 271,304,515,161
  5. Step 5: Solve for x
    x = 271,304,515,161/245,673
  6. Step 6: Final answer
    x = 1,104,331.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.