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Finding the Third Proportional to 404,921 and 628,604

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Solution

The third proportional to 404,921 and 628,604 is: 975,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,921 : 628,604 = 628,604 : x
  2. Step 2: Convert to fraction form
    404,921/628,604 = 628,604/x
  3. Step 3: Cross multiply
    404,921x = 628,604 × 628,604
  4. Step 4: Simplify right side
    404,921x = 395,142,988,816
  5. Step 5: Solve for x
    x = 395,142,988,816/404,921
  6. Step 6: Final answer
    x = 975,852.05

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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.