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Finding the Third Proportional to 293,704 and 454,412

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Solution

The third proportional to 293,704 and 454,412 is: 703,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,704 : 454,412 = 454,412 : x
  2. Step 2: Convert to fraction form
    293,704/454,412 = 454,412/x
  3. Step 3: Cross multiply
    293,704x = 454,412 × 454,412
  4. Step 4: Simplify right side
    293,704x = 206,490,265,744
  5. Step 5: Solve for x
    x = 206,490,265,744/293,704
  6. Step 6: Final answer
    x = 703,055.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.