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Finding the Third Proportional to 263,264.25 and 513,405.75

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Solution

The third proportional to 263,264.25 and 513,405.75 is: 1,001,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,264.25 : 513,405.75 = 513,405.75 : x
  2. Step 2: Convert to fraction form
    263,264.25/513,405.75 = 513,405.75/x
  3. Step 3: Cross multiply
    263,264.25x = 513,405.75 × 513,405.75
  4. Step 4: Simplify right side
    263,264.25x = 263,585,464,133.06
  5. Step 5: Solve for x
    x = 263,585,464,133.06/263,264.25
  6. Step 6: Final answer
    x = 1,001,220.12

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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.