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Finding the Third Proportional to 404,136.75 and 588,435.56

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Solution

The third proportional to 404,136.75 and 588,435.56 is: 856,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,136.75 : 588,435.56 = 588,435.56 : x
  2. Step 2: Convert to fraction form
    404,136.75/588,435.56 = 588,435.56/x
  3. Step 3: Cross multiply
    404,136.75x = 588,435.56 × 588,435.56
  4. Step 4: Simplify right side
    404,136.75x = 346,256,411,214.69
  5. Step 5: Solve for x
    x = 346,256,411,214.69/404,136.75
  6. Step 6: Final answer
    x = 856,780.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.