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Finding the Third Proportional to 404,149.50 and 588,444.75

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Solution

The third proportional to 404,149.50 and 588,444.75 is: 856,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,149.50 : 588,444.75 = 588,444.75 : x
  2. Step 2: Convert to fraction form
    404,149.50/588,444.75 = 588,444.75/x
  3. Step 3: Cross multiply
    404,149.50x = 588,444.75 × 588,444.75
  4. Step 4: Simplify right side
    404,149.50x = 346,267,223,802.56
  5. Step 5: Solve for x
    x = 346,267,223,802.56/404,149.50
  6. Step 6: Final answer
    x = 856,780.04

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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.