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Finding the Third Proportional to 247,616 and 534,640

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Solution

The third proportional to 247,616 and 534,640 is: 1,154,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,616 : 534,640 = 534,640 : x
  2. Step 2: Convert to fraction form
    247,616/534,640 = 534,640/x
  3. Step 3: Cross multiply
    247,616x = 534,640 × 534,640
  4. Step 4: Simplify right side
    247,616x = 285,839,929,600
  5. Step 5: Solve for x
    x = 285,839,929,600/247,616
  6. Step 6: Final answer
    x = 1,154,367.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.