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Finding the Third Proportional to 434,675 and 933,623.50

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Solution

The third proportional to 434,675 and 933,623.50 is: 2,005,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,675 : 933,623.50 = 933,623.50 : x
  2. Step 2: Convert to fraction form
    434,675/933,623.50 = 933,623.50/x
  3. Step 3: Cross multiply
    434,675x = 933,623.50 × 933,623.50
  4. Step 4: Simplify right side
    434,675x = 871,652,839,752.25
  5. Step 5: Solve for x
    x = 871,652,839,752.25/434,675
  6. Step 6: Final answer
    x = 2,005,297.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.