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Finding the Third Proportional to 403,871 and 633,608

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Solution

The third proportional to 403,871 and 633,608 is: 994,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,871 : 633,608 = 633,608 : x
  2. Step 2: Convert to fraction form
    403,871/633,608 = 633,608/x
  3. Step 3: Cross multiply
    403,871x = 633,608 × 633,608
  4. Step 4: Simplify right side
    403,871x = 401,459,097,664
  5. Step 5: Solve for x
    x = 401,459,097,664/403,871
  6. Step 6: Final answer
    x = 994,028.04

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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.