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Finding the Third Proportional to 252,976 and 537,104

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Solution

The third proportional to 252,976 and 537,104 is: 1,140,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,976 : 537,104 = 537,104 : x
  2. Step 2: Convert to fraction form
    252,976/537,104 = 537,104/x
  3. Step 3: Cross multiply
    252,976x = 537,104 × 537,104
  4. Step 4: Simplify right side
    252,976x = 288,480,706,816
  5. Step 5: Solve for x
    x = 288,480,706,816/252,976
  6. Step 6: Final answer
    x = 1,140,348.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.