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Finding the Third Proportional to 247,956 and 537,120

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Solution

The third proportional to 247,956 and 537,120 is: 1,163,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,956 : 537,120 = 537,120 : x
  2. Step 2: Convert to fraction form
    247,956/537,120 = 537,120/x
  3. Step 3: Cross multiply
    247,956x = 537,120 × 537,120
  4. Step 4: Simplify right side
    247,956x = 288,497,894,400
  5. Step 5: Solve for x
    x = 288,497,894,400/247,956
  6. Step 6: Final answer
    x = 1,163,504.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.