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Finding the Third Proportional to 208,646 and 450,551

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Solution

The third proportional to 208,646 and 450,551 is: 972,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,646 : 450,551 = 450,551 : x
  2. Step 2: Convert to fraction form
    208,646/450,551 = 450,551/x
  3. Step 3: Cross multiply
    208,646x = 450,551 × 450,551
  4. Step 4: Simplify right side
    208,646x = 202,996,203,601
  5. Step 5: Solve for x
    x = 202,996,203,601/208,646
  6. Step 6: Final answer
    x = 972,921.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.