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Finding the Third Proportional to 212,724 and 453,606

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Solution

The third proportional to 212,724 and 453,606 is: 967,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,724 : 453,606 = 453,606 : x
  2. Step 2: Convert to fraction form
    212,724/453,606 = 453,606/x
  3. Step 3: Cross multiply
    212,724x = 453,606 × 453,606
  4. Step 4: Simplify right side
    212,724x = 205,758,403,236
  5. Step 5: Solve for x
    x = 205,758,403,236/212,724
  6. Step 6: Final answer
    x = 967,255.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.