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Finding the Third Proportional to 311,450 and 666,086.50

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Solution

The third proportional to 311,450 and 666,086.50 is: 1,424,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,450 : 666,086.50 = 666,086.50 : x
  2. Step 2: Convert to fraction form
    311,450/666,086.50 = 666,086.50/x
  3. Step 3: Cross multiply
    311,450x = 666,086.50 × 666,086.50
  4. Step 4: Simplify right side
    311,450x = 443,671,225,482.25
  5. Step 5: Solve for x
    x = 443,671,225,482.25/311,450
  6. Step 6: Final answer
    x = 1,424,534.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.