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Finding the Third Proportional to 417,861.75 and 902,225.25

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Solution

The third proportional to 417,861.75 and 902,225.25 is: 1,948,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,861.75 : 902,225.25 = 902,225.25 : x
  2. Step 2: Convert to fraction form
    417,861.75/902,225.25 = 902,225.25/x
  3. Step 3: Cross multiply
    417,861.75x = 902,225.25 × 902,225.25
  4. Step 4: Simplify right side
    417,861.75x = 814,010,401,737.56
  5. Step 5: Solve for x
    x = 814,010,401,737.56/417,861.75
  6. Step 6: Final answer
    x = 1,948,037.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.