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Finding the Third Proportional to 404,919 and 628,600.50

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Solution

The third proportional to 404,919 and 628,600.50 is: 975,846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,919 : 628,600.50 = 628,600.50 : x
  2. Step 2: Convert to fraction form
    404,919/628,600.50 = 628,600.50/x
  3. Step 3: Cross multiply
    404,919x = 628,600.50 × 628,600.50
  4. Step 4: Simplify right side
    404,919x = 395,138,588,600.25
  5. Step 5: Solve for x
    x = 395,138,588,600.25/404,919
  6. Step 6: Final answer
    x = 975,846.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.