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Finding the Third Proportional to 293,297.20 and 418,366.27

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Solution

The third proportional to 293,297.20 and 418,366.27 is: 596,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,297.20 : 418,366.27 = 418,366.27 : x
  2. Step 2: Convert to fraction form
    293,297.20/418,366.27 = 418,366.27/x
  3. Step 3: Cross multiply
    293,297.20x = 418,366.27 × 418,366.27
  4. Step 4: Simplify right side
    293,297.20x = 175,030,332,213.01
  5. Step 5: Solve for x
    x = 175,030,332,213.01/293,297.20
  6. Step 6: Final answer
    x = 596,767.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.