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Finding the Third Proportional to 247,976 and 537,152

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Solution

The third proportional to 247,976 and 537,152 is: 1,163,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,976 : 537,152 = 537,152 : x
  2. Step 2: Convert to fraction form
    247,976/537,152 = 537,152/x
  3. Step 3: Cross multiply
    247,976x = 537,152 × 537,152
  4. Step 4: Simplify right side
    247,976x = 288,532,271,104
  5. Step 5: Solve for x
    x = 288,532,271,104/247,976
  6. Step 6: Final answer
    x = 1,163,549.18

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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.