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Finding the Third Proportional to 301,485 and 468,828

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Solution

The third proportional to 301,485 and 468,828 is: 729,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,485 : 468,828 = 468,828 : x
  2. Step 2: Convert to fraction form
    301,485/468,828 = 468,828/x
  3. Step 3: Cross multiply
    301,485x = 468,828 × 468,828
  4. Step 4: Simplify right side
    301,485x = 219,799,693,584
  5. Step 5: Solve for x
    x = 219,799,693,584/301,485
  6. Step 6: Final answer
    x = 729,056.81

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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.