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Finding the Third Proportional to 454,947 and 713,616

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Solution

The third proportional to 454,947 and 713,616 is: 1,119,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,947 : 713,616 = 713,616 : x
  2. Step 2: Convert to fraction form
    454,947/713,616 = 713,616/x
  3. Step 3: Cross multiply
    454,947x = 713,616 × 713,616
  4. Step 4: Simplify right side
    454,947x = 509,247,795,456
  5. Step 5: Solve for x
    x = 509,247,795,456/454,947
  6. Step 6: Final answer
    x = 1,119,356.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.