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Finding the Third Proportional to 404,388 and 623,448

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Solution

The third proportional to 404,388 and 623,448 is: 961,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,388 : 623,448 = 623,448 : x
  2. Step 2: Convert to fraction form
    404,388/623,448 = 623,448/x
  3. Step 3: Cross multiply
    404,388x = 623,448 × 623,448
  4. Step 4: Simplify right side
    404,388x = 388,687,408,704
  5. Step 5: Solve for x
    x = 388,687,408,704/404,388
  6. Step 6: Final answer
    x = 961,174.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.