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Finding the Third Proportional to 311,172 and 678,655.50

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Solution

The third proportional to 311,172 and 678,655.50 is: 1,480,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,172 : 678,655.50 = 678,655.50 : x
  2. Step 2: Convert to fraction form
    311,172/678,655.50 = 678,655.50/x
  3. Step 3: Cross multiply
    311,172x = 678,655.50 × 678,655.50
  4. Step 4: Simplify right side
    311,172x = 460,573,287,680.25
  5. Step 5: Solve for x
    x = 460,573,287,680.25/311,172
  6. Step 6: Final answer
    x = 1,480,124.46

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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.