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Finding the Third Proportional to 216,434 and 462,271

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Solution

The third proportional to 216,434 and 462,271 is: 987,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,434 : 462,271 = 462,271 : x
  2. Step 2: Convert to fraction form
    216,434/462,271 = 462,271/x
  3. Step 3: Cross multiply
    216,434x = 462,271 × 462,271
  4. Step 4: Simplify right side
    216,434x = 213,694,477,441
  5. Step 5: Solve for x
    x = 213,694,477,441/216,434
  6. Step 6: Final answer
    x = 987,342.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.