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Finding the Third Proportional to 467,088 and 665,634

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Solution

The third proportional to 467,088 and 665,634 is: 948,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,088 : 665,634 = 665,634 : x
  2. Step 2: Convert to fraction form
    467,088/665,634 = 665,634/x
  3. Step 3: Cross multiply
    467,088x = 665,634 × 665,634
  4. Step 4: Simplify right side
    467,088x = 443,068,621,956
  5. Step 5: Solve for x
    x = 443,068,621,956/467,088
  6. Step 6: Final answer
    x = 948,576.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.