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Finding the Third Proportional to 211,524 and 476,310

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Solution

The third proportional to 211,524 and 476,310 is: 1,072,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524 : 476,310 = 476,310 : x
  2. Step 2: Convert to fraction form
    211,524/476,310 = 476,310/x
  3. Step 3: Cross multiply
    211,524x = 476,310 × 476,310
  4. Step 4: Simplify right side
    211,524x = 226,871,216,100
  5. Step 5: Solve for x
    x = 226,871,216,100/211,524
  6. Step 6: Final answer
    x = 1,072,555.44

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.