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Finding the Third Proportional to 208,014 and 490,875

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Solution

The third proportional to 208,014 and 490,875 is: 1,158,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,014 : 490,875 = 490,875 : x
  2. Step 2: Convert to fraction form
    208,014/490,875 = 490,875/x
  3. Step 3: Cross multiply
    208,014x = 490,875 × 490,875
  4. Step 4: Simplify right side
    208,014x = 240,958,265,625
  5. Step 5: Solve for x
    x = 240,958,265,625/208,014
  6. Step 6: Final answer
    x = 1,158,375.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.