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Finding the Third Proportional to 301,810 and 452,751

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Solution

The third proportional to 301,810 and 452,751 is: 679,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,810 : 452,751 = 452,751 : x
  2. Step 2: Convert to fraction form
    301,810/452,751 = 452,751/x
  3. Step 3: Cross multiply
    301,810x = 452,751 × 452,751
  4. Step 4: Simplify right side
    301,810x = 204,983,468,001
  5. Step 5: Solve for x
    x = 204,983,468,001/301,810
  6. Step 6: Final answer
    x = 679,180.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.