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Finding the Third Proportional to 266,336.44 and 358,839.28

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Solution

The third proportional to 266,336.44 and 358,839.28 is: 483,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,336.44 : 358,839.28 = 358,839.28 : x
  2. Step 2: Convert to fraction form
    266,336.44/358,839.28 = 358,839.28/x
  3. Step 3: Cross multiply
    266,336.44x = 358,839.28 × 358,839.28
  4. Step 4: Simplify right side
    266,336.44x = 128,765,629,768.02
  5. Step 5: Solve for x
    x = 128,765,629,768.02/266,336.44
  6. Step 6: Final answer
    x = 483,469.82

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