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Finding the Third Proportional to 403,823 and 633,567

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Solution

The third proportional to 403,823 and 633,567 is: 994,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,823 : 633,567 = 633,567 : x
  2. Step 2: Convert to fraction form
    403,823/633,567 = 633,567/x
  3. Step 3: Cross multiply
    403,823x = 633,567 × 633,567
  4. Step 4: Simplify right side
    403,823x = 401,407,143,489
  5. Step 5: Solve for x
    x = 401,407,143,489/403,823
  6. Step 6: Final answer
    x = 994,017.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.