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Finding the Third Proportional to 432,114.75 and 945,596.53

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Solution

The third proportional to 432,114.75 and 945,596.53 is: 2,069,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,114.75 : 945,596.53 = 945,596.53 : x
  2. Step 2: Convert to fraction form
    432,114.75/945,596.53 = 945,596.53/x
  3. Step 3: Cross multiply
    432,114.75x = 945,596.53 × 945,596.53
  4. Step 4: Simplify right side
    432,114.75x = 894,152,799,912.03
  5. Step 5: Solve for x
    x = 894,152,799,912.03/432,114.75
  6. Step 6: Final answer
    x = 2,069,248.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.