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Finding the Third Proportional to 245,862 and 500,744

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Solution

The third proportional to 245,862 and 500,744 is: 1,019,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,862 : 500,744 = 500,744 : x
  2. Step 2: Convert to fraction form
    245,862/500,744 = 500,744/x
  3. Step 3: Cross multiply
    245,862x = 500,744 × 500,744
  4. Step 4: Simplify right side
    245,862x = 250,744,553,536
  5. Step 5: Solve for x
    x = 250,744,553,536/245,862
  6. Step 6: Final answer
    x = 1,019,858.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.