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Finding the Third Proportional to 275,815.50 and 428,839.50

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Solution

The third proportional to 275,815.50 and 428,839.50 is: 666,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,815.50 : 428,839.50 = 428,839.50 : x
  2. Step 2: Convert to fraction form
    275,815.50/428,839.50 = 428,839.50/x
  3. Step 3: Cross multiply
    275,815.50x = 428,839.50 × 428,839.50
  4. Step 4: Simplify right side
    275,815.50x = 183,903,316,760.25
  5. Step 5: Solve for x
    x = 183,903,316,760.25/275,815.50
  6. Step 6: Final answer
    x = 666,762.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.