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Finding the Third Proportional to 263,260.13 and 513,398.25

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Solution

The third proportional to 263,260.13 and 513,398.25 is: 1,001,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,260.13 : 513,398.25 = 513,398.25 : x
  2. Step 2: Convert to fraction form
    263,260.13/513,398.25 = 513,398.25/x
  3. Step 3: Cross multiply
    263,260.13x = 513,398.25 × 513,398.25
  4. Step 4: Simplify right side
    263,260.13x = 263,577,763,103.06
  5. Step 5: Solve for x
    x = 263,577,763,103.06/263,260.13
  6. Step 6: Final answer
    x = 1,001,206.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.