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Finding the Third Proportional to 210,464 and 447,216

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Solution

The third proportional to 210,464 and 447,216 is: 950,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,464 : 447,216 = 447,216 : x
  2. Step 2: Convert to fraction form
    210,464/447,216 = 447,216/x
  3. Step 3: Cross multiply
    210,464x = 447,216 × 447,216
  4. Step 4: Simplify right side
    210,464x = 200,002,150,656
  5. Step 5: Solve for x
    x = 200,002,150,656/210,464
  6. Step 6: Final answer
    x = 950,291.50

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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.