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Finding the Third Proportional to 262,731 and 407,650

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Solution

The third proportional to 262,731 and 407,650 is: 632,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,731 : 407,650 = 407,650 : x
  2. Step 2: Convert to fraction form
    262,731/407,650 = 407,650/x
  3. Step 3: Cross multiply
    262,731x = 407,650 × 407,650
  4. Step 4: Simplify right side
    262,731x = 166,178,522,500
  5. Step 5: Solve for x
    x = 166,178,522,500/262,731
  6. Step 6: Final answer
    x = 632,504.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.