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Finding the Third Proportional to 443,292.75 and 864,434.53

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Solution

The third proportional to 443,292.75 and 864,434.53 is: 1,685,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,292.75 : 864,434.53 = 864,434.53 : x
  2. Step 2: Convert to fraction form
    443,292.75/864,434.53 = 864,434.53/x
  3. Step 3: Cross multiply
    443,292.75x = 864,434.53 × 864,434.53
  4. Step 4: Simplify right side
    443,292.75x = 747,247,058,817.41
  5. Step 5: Solve for x
    x = 747,247,058,817.41/443,292.75
  6. Step 6: Final answer
    x = 1,685,673.99

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.