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Finding the Third Proportional to 311,591 and 508,751

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Solution

The third proportional to 311,591 and 508,751 is: 830,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,591 : 508,751 = 508,751 : x
  2. Step 2: Convert to fraction form
    311,591/508,751 = 508,751/x
  3. Step 3: Cross multiply
    311,591x = 508,751 × 508,751
  4. Step 4: Simplify right side
    311,591x = 258,827,580,001
  5. Step 5: Solve for x
    x = 258,827,580,001/311,591
  6. Step 6: Final answer
    x = 830,664.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.