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Finding the Third Proportional to 380,011.50 and 534,478.50

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Solution

The third proportional to 380,011.50 and 534,478.50 is: 751,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,011.50 : 534,478.50 = 534,478.50 : x
  2. Step 2: Convert to fraction form
    380,011.50/534,478.50 = 534,478.50/x
  3. Step 3: Cross multiply
    380,011.50x = 534,478.50 × 534,478.50
  4. Step 4: Simplify right side
    380,011.50x = 285,667,266,962.25
  5. Step 5: Solve for x
    x = 285,667,266,962.25/380,011.50
  6. Step 6: Final answer
    x = 751,733.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.