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Finding the Third Proportional to 209,905.50 and 452,976

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Solution

The third proportional to 209,905.50 and 452,976 is: 977,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,905.50 : 452,976 = 452,976 : x
  2. Step 2: Convert to fraction form
    209,905.50/452,976 = 452,976/x
  3. Step 3: Cross multiply
    209,905.50x = 452,976 × 452,976
  4. Step 4: Simplify right side
    209,905.50x = 205,187,256,576
  5. Step 5: Solve for x
    x = 205,187,256,576/209,905.50
  6. Step 6: Final answer
    x = 977,522.06

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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.