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Finding the Third Proportional to 212,616 and 447,264

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Solution

The third proportional to 212,616 and 447,264 is: 940,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,616 : 447,264 = 447,264 : x
  2. Step 2: Convert to fraction form
    212,616/447,264 = 447,264/x
  3. Step 3: Cross multiply
    212,616x = 447,264 × 447,264
  4. Step 4: Simplify right side
    212,616x = 200,045,085,696
  5. Step 5: Solve for x
    x = 200,045,085,696/212,616
  6. Step 6: Final answer
    x = 940,875.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.