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Finding the Third Proportional to 215,596 and 453,534

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Solution

The third proportional to 215,596 and 453,534 is: 954,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,596 : 453,534 = 453,534 : x
  2. Step 2: Convert to fraction form
    215,596/453,534 = 453,534/x
  3. Step 3: Cross multiply
    215,596x = 453,534 × 453,534
  4. Step 4: Simplify right side
    215,596x = 205,693,089,156
  5. Step 5: Solve for x
    x = 205,693,089,156/215,596
  6. Step 6: Final answer
    x = 954,067.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.