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Finding the Third Proportional to 353,118 and 522,810

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Solution

The third proportional to 353,118 and 522,810 is: 774,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,118 : 522,810 = 522,810 : x
  2. Step 2: Convert to fraction form
    353,118/522,810 = 522,810/x
  3. Step 3: Cross multiply
    353,118x = 522,810 × 522,810
  4. Step 4: Simplify right side
    353,118x = 273,330,296,100
  5. Step 5: Solve for x
    x = 273,330,296,100/353,118
  6. Step 6: Final answer
    x = 774,048.04

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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.