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Finding the Third Proportional to 252,867 and 537,917

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Solution

The third proportional to 252,867 and 537,917 is: 1,144,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,867 : 537,917 = 537,917 : x
  2. Step 2: Convert to fraction form
    252,867/537,917 = 537,917/x
  3. Step 3: Cross multiply
    252,867x = 537,917 × 537,917
  4. Step 4: Simplify right side
    252,867x = 289,354,698,889
  5. Step 5: Solve for x
    x = 289,354,698,889/252,867
  6. Step 6: Final answer
    x = 1,144,296.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.