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Finding the Third Proportional to 212,718.38 and 453,594.38

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Solution

The third proportional to 212,718.38 and 453,594.38 is: 967,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,718.38 : 453,594.38 = 453,594.38 : x
  2. Step 2: Convert to fraction form
    212,718.38/453,594.38 = 453,594.38/x
  3. Step 3: Cross multiply
    212,718.38x = 453,594.38 × 453,594.38
  4. Step 4: Simplify right side
    212,718.38x = 205,747,857,031.64
  5. Step 5: Solve for x
    x = 205,747,857,031.64/212,718.38
  6. Step 6: Final answer
    x = 967,231.24

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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.