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Finding the Third Proportional to 353,064 and 522,736

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Solution

The third proportional to 353,064 and 522,736 is: 773,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,064 : 522,736 = 522,736 : x
  2. Step 2: Convert to fraction form
    353,064/522,736 = 522,736/x
  3. Step 3: Cross multiply
    353,064x = 522,736 × 522,736
  4. Step 4: Simplify right side
    353,064x = 273,252,925,696
  5. Step 5: Solve for x
    x = 273,252,925,696/353,064
  6. Step 6: Final answer
    x = 773,947.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.