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Finding the Third Proportional to 210,468 and 447,222

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Solution

The third proportional to 210,468 and 447,222 is: 950,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,468 : 447,222 = 447,222 : x
  2. Step 2: Convert to fraction form
    210,468/447,222 = 447,222/x
  3. Step 3: Cross multiply
    210,468x = 447,222 × 447,222
  4. Step 4: Simplify right side
    210,468x = 200,007,517,284
  5. Step 5: Solve for x
    x = 200,007,517,284/210,468
  6. Step 6: Final answer
    x = 950,298.94

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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.