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Finding the Third Proportional to 367,087 and 534,652

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Solution

The third proportional to 367,087 and 534,652 is: 778,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,087 : 534,652 = 534,652 : x
  2. Step 2: Convert to fraction form
    367,087/534,652 = 534,652/x
  3. Step 3: Cross multiply
    367,087x = 534,652 × 534,652
  4. Step 4: Simplify right side
    367,087x = 285,852,761,104
  5. Step 5: Solve for x
    x = 285,852,761,104/367,087
  6. Step 6: Final answer
    x = 778,705.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.