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Finding the Third Proportional to 231,025.50 and 465,485.06

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Solution

The third proportional to 231,025.50 and 465,485.06 is: 937,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,025.50 : 465,485.06 = 465,485.06 : x
  2. Step 2: Convert to fraction form
    231,025.50/465,485.06 = 465,485.06/x
  3. Step 3: Cross multiply
    231,025.50x = 465,485.06 × 465,485.06
  4. Step 4: Simplify right side
    231,025.50x = 216,676,343,410.63
  5. Step 5: Solve for x
    x = 216,676,343,410.63/231,025.50
  6. Step 6: Final answer
    x = 937,889.30

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.