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Finding the Third Proportional to 311,534 and 680,728

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Solution

The third proportional to 311,534 and 680,728 is: 1,487,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,534 : 680,728 = 680,728 : x
  2. Step 2: Convert to fraction form
    311,534/680,728 = 680,728/x
  3. Step 3: Cross multiply
    311,534x = 680,728 × 680,728
  4. Step 4: Simplify right side
    311,534x = 463,390,609,984
  5. Step 5: Solve for x
    x = 463,390,609,984/311,534
  6. Step 6: Final answer
    x = 1,487,447.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.