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Finding the Third Proportional to 473,462 and 665,958

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Solution

The third proportional to 473,462 and 665,958 is: 936,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,462 : 665,958 = 665,958 : x
  2. Step 2: Convert to fraction form
    473,462/665,958 = 665,958/x
  3. Step 3: Cross multiply
    473,462x = 665,958 × 665,958
  4. Step 4: Simplify right side
    473,462x = 443,500,057,764
  5. Step 5: Solve for x
    x = 443,500,057,764/473,462
  6. Step 6: Final answer
    x = 936,717.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.