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Finding the Third Proportional to 260,846 and 571,696

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Solution

The third proportional to 260,846 and 571,696 is: 1,252,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,846 : 571,696 = 571,696 : x
  2. Step 2: Convert to fraction form
    260,846/571,696 = 571,696/x
  3. Step 3: Cross multiply
    260,846x = 571,696 × 571,696
  4. Step 4: Simplify right side
    260,846x = 326,836,316,416
  5. Step 5: Solve for x
    x = 326,836,316,416/260,846
  6. Step 6: Final answer
    x = 1,252,985.73

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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.