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Finding the Third Proportional to 385,270.50 and 511,210.50

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Solution

The third proportional to 385,270.50 and 511,210.50 is: 678,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,270.50 : 511,210.50 = 511,210.50 : x
  2. Step 2: Convert to fraction form
    385,270.50/511,210.50 = 511,210.50/x
  3. Step 3: Cross multiply
    385,270.50x = 511,210.50 × 511,210.50
  4. Step 4: Simplify right side
    385,270.50x = 261,336,175,310.25
  5. Step 5: Solve for x
    x = 261,336,175,310.25/385,270.50
  6. Step 6: Final answer
    x = 678,318.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.