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Finding the Third Proportional to 413,762 and 632,667

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Solution

The third proportional to 413,762 and 632,667 is: 967,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,762 : 632,667 = 632,667 : x
  2. Step 2: Convert to fraction form
    413,762/632,667 = 632,667/x
  3. Step 3: Cross multiply
    413,762x = 632,667 × 632,667
  4. Step 4: Simplify right side
    413,762x = 400,267,532,889
  5. Step 5: Solve for x
    x = 400,267,532,889/413,762
  6. Step 6: Final answer
    x = 967,385.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.