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Finding the Third Proportional to 213,271 and 466,718

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Solution

The third proportional to 213,271 and 466,718 is: 1,021,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,271 : 466,718 = 466,718 : x
  2. Step 2: Convert to fraction form
    213,271/466,718 = 466,718/x
  3. Step 3: Cross multiply
    213,271x = 466,718 × 466,718
  4. Step 4: Simplify right side
    213,271x = 217,825,691,524
  5. Step 5: Solve for x
    x = 217,825,691,524/213,271
  6. Step 6: Final answer
    x = 1,021,356.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.