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Finding the Third Proportional to 601,627.50 and 902,461.50

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Solution

The third proportional to 601,627.50 and 902,461.50 is: 1,353,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,627.50 : 902,461.50 = 902,461.50 : x
  2. Step 2: Convert to fraction form
    601,627.50/902,461.50 = 902,461.50/x
  3. Step 3: Cross multiply
    601,627.50x = 902,461.50 × 902,461.50
  4. Step 4: Simplify right side
    601,627.50x = 814,436,758,982.25
  5. Step 5: Solve for x
    x = 814,436,758,982.25/601,627.50
  6. Step 6: Final answer
    x = 1,353,722.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.