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Finding the Third Proportional to 260,563 and 571,004

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Solution

The third proportional to 260,563 and 571,004 is: 1,251,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,563 : 571,004 = 571,004 : x
  2. Step 2: Convert to fraction form
    260,563/571,004 = 571,004/x
  3. Step 3: Cross multiply
    260,563x = 571,004 × 571,004
  4. Step 4: Simplify right side
    260,563x = 326,045,568,016
  5. Step 5: Solve for x
    x = 326,045,568,016/260,563
  6. Step 6: Final answer
    x = 1,251,311.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.