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Finding the Third Proportional to 247,947 and 537,096

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Solution

The third proportional to 247,947 and 537,096 is: 1,163,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,947 : 537,096 = 537,096 : x
  2. Step 2: Convert to fraction form
    247,947/537,096 = 537,096/x
  3. Step 3: Cross multiply
    247,947x = 537,096 × 537,096
  4. Step 4: Simplify right side
    247,947x = 288,472,113,216
  5. Step 5: Solve for x
    x = 288,472,113,216/247,947
  6. Step 6: Final answer
    x = 1,163,442.64

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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.