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Finding the Third Proportional to 300,526 and 468,021

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Solution

The third proportional to 300,526 and 468,021 is: 728,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,526 : 468,021 = 468,021 : x
  2. Step 2: Convert to fraction form
    300,526/468,021 = 468,021/x
  3. Step 3: Cross multiply
    300,526x = 468,021 × 468,021
  4. Step 4: Simplify right side
    300,526x = 219,043,656,441
  5. Step 5: Solve for x
    x = 219,043,656,441/300,526
  6. Step 6: Final answer
    x = 728,867.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.