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Finding the Third Proportional to 432,996.75 and 623,711.25

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Solution

The third proportional to 432,996.75 and 623,711.25 is: 898,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,996.75 : 623,711.25 = 623,711.25 : x
  2. Step 2: Convert to fraction form
    432,996.75/623,711.25 = 623,711.25/x
  3. Step 3: Cross multiply
    432,996.75x = 623,711.25 × 623,711.25
  4. Step 4: Simplify right side
    432,996.75x = 389,015,723,376.56
  5. Step 5: Solve for x
    x = 389,015,723,376.56/432,996.75
  6. Step 6: Final answer
    x = 898,426.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.