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Finding the Third Proportional to 291,366 and 393,641

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Solution

The third proportional to 291,366 and 393,641 is: 531,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,366 : 393,641 = 393,641 : x
  2. Step 2: Convert to fraction form
    291,366/393,641 = 393,641/x
  3. Step 3: Cross multiply
    291,366x = 393,641 × 393,641
  4. Step 4: Simplify right side
    291,366x = 154,953,236,881
  5. Step 5: Solve for x
    x = 154,953,236,881/291,366
  6. Step 6: Final answer
    x = 531,816.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.