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Finding the Third Proportional to 432,200.25 and 624,399.75

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Solution

The third proportional to 432,200.25 and 624,399.75 is: 902,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,200.25 : 624,399.75 = 624,399.75 : x
  2. Step 2: Convert to fraction form
    432,200.25/624,399.75 = 624,399.75/x
  3. Step 3: Cross multiply
    432,200.25x = 624,399.75 × 624,399.75
  4. Step 4: Simplify right side
    432,200.25x = 389,875,047,800.06
  5. Step 5: Solve for x
    x = 389,875,047,800.06/432,200.25
  6. Step 6: Final answer
    x = 902,070.39

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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.