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Finding the Third Proportional to 311,005 and 678,281.50

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Solution

The third proportional to 311,005 and 678,281.50 is: 1,479,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,005 : 678,281.50 = 678,281.50 : x
  2. Step 2: Convert to fraction form
    311,005/678,281.50 = 678,281.50/x
  3. Step 3: Cross multiply
    311,005x = 678,281.50 × 678,281.50
  4. Step 4: Simplify right side
    311,005x = 460,065,793,242.25
  5. Step 5: Solve for x
    x = 460,065,793,242.25/311,005
  6. Step 6: Final answer
    x = 1,479,287.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.