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Finding the Third Proportional to 209,908 and 452,984

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Solution

The third proportional to 209,908 and 452,984 is: 977,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,908 : 452,984 = 452,984 : x
  2. Step 2: Convert to fraction form
    209,908/452,984 = 452,984/x
  3. Step 3: Cross multiply
    209,908x = 452,984 × 452,984
  4. Step 4: Simplify right side
    209,908x = 205,194,504,256
  5. Step 5: Solve for x
    x = 205,194,504,256/209,908
  6. Step 6: Final answer
    x = 977,544.94

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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.