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Finding the Third Proportional to 263,271 and 513,417

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Solution

The third proportional to 263,271 and 513,417 is: 1,001,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,271 : 513,417 = 513,417 : x
  2. Step 2: Convert to fraction form
    263,271/513,417 = 513,417/x
  3. Step 3: Cross multiply
    263,271x = 513,417 × 513,417
  4. Step 4: Simplify right side
    263,271x = 263,597,015,889
  5. Step 5: Solve for x
    x = 263,597,015,889/263,271
  6. Step 6: Final answer
    x = 1,001,238.33

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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.