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Finding the Third Proportional to 301,662 and 632,700

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Solution

The third proportional to 301,662 and 632,700 is: 1,327,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,662 : 632,700 = 632,700 : x
  2. Step 2: Convert to fraction form
    301,662/632,700 = 632,700/x
  3. Step 3: Cross multiply
    301,662x = 632,700 × 632,700
  4. Step 4: Simplify right side
    301,662x = 400,309,290,000
  5. Step 5: Solve for x
    x = 400,309,290,000/301,662
  6. Step 6: Final answer
    x = 1,327,012.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.