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Finding the Third Proportional to 215,598 and 453,536

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Solution

The third proportional to 215,598 and 453,536 is: 954,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,598 : 453,536 = 453,536 : x
  2. Step 2: Convert to fraction form
    215,598/453,536 = 453,536/x
  3. Step 3: Cross multiply
    215,598x = 453,536 × 453,536
  4. Step 4: Simplify right side
    215,598x = 205,694,903,296
  5. Step 5: Solve for x
    x = 205,694,903,296/215,598
  6. Step 6: Final answer
    x = 954,066.84

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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.