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Finding the Third Proportional to 312,504.75 and 442,482.75

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Solution

The third proportional to 312,504.75 and 442,482.75 is: 626,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,504.75 : 442,482.75 = 442,482.75 : x
  2. Step 2: Convert to fraction form
    312,504.75/442,482.75 = 442,482.75/x
  3. Step 3: Cross multiply
    312,504.75x = 442,482.75 × 442,482.75
  4. Step 4: Simplify right side
    312,504.75x = 195,790,984,047.56
  5. Step 5: Solve for x
    x = 195,790,984,047.56/312,504.75
  6. Step 6: Final answer
    x = 626,521.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.