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Finding the Third Proportional to 344,980 and 548,574

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Solution

The third proportional to 344,980 and 548,574 is: 872,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,980 : 548,574 = 548,574 : x
  2. Step 2: Convert to fraction form
    344,980/548,574 = 548,574/x
  3. Step 3: Cross multiply
    344,980x = 548,574 × 548,574
  4. Step 4: Simplify right side
    344,980x = 300,933,433,476
  5. Step 5: Solve for x
    x = 300,933,433,476/344,980
  6. Step 6: Final answer
    x = 872,321.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.