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Finding the Third Proportional to 388,759.50 and 580,142.25

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Solution

The third proportional to 388,759.50 and 580,142.25 is: 865,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,759.50 : 580,142.25 = 580,142.25 : x
  2. Step 2: Convert to fraction form
    388,759.50/580,142.25 = 580,142.25/x
  3. Step 3: Cross multiply
    388,759.50x = 580,142.25 × 580,142.25
  4. Step 4: Simplify right side
    388,759.50x = 336,565,030,235.06
  5. Step 5: Solve for x
    x = 336,565,030,235.06/388,759.50
  6. Step 6: Final answer
    x = 865,740.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.