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Finding the Third Proportional to 213,544 and 453,426

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Solution

The third proportional to 213,544 and 453,426 is: 962,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,544 : 453,426 = 453,426 : x
  2. Step 2: Convert to fraction form
    213,544/453,426 = 453,426/x
  3. Step 3: Cross multiply
    213,544x = 453,426 × 453,426
  4. Step 4: Simplify right side
    213,544x = 205,595,137,476
  5. Step 5: Solve for x
    x = 205,595,137,476/213,544
  6. Step 6: Final answer
    x = 962,776.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.