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Finding the Third Proportional to 374,832.75 and 534,210.75

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Solution

The third proportional to 374,832.75 and 534,210.75 is: 761,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,832.75 : 534,210.75 = 534,210.75 : x
  2. Step 2: Convert to fraction form
    374,832.75/534,210.75 = 534,210.75/x
  3. Step 3: Cross multiply
    374,832.75x = 534,210.75 × 534,210.75
  4. Step 4: Simplify right side
    374,832.75x = 285,381,125,415.56
  5. Step 5: Solve for x
    x = 285,381,125,415.56/374,832.75
  6. Step 6: Final answer
    x = 761,355.90

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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.