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Finding the Third Proportional to 212,073 and 448,687

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Solution

The third proportional to 212,073 and 448,687 is: 949,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,073 : 448,687 = 448,687 : x
  2. Step 2: Convert to fraction form
    212,073/448,687 = 448,687/x
  3. Step 3: Cross multiply
    212,073x = 448,687 × 448,687
  4. Step 4: Simplify right side
    212,073x = 201,320,023,969
  5. Step 5: Solve for x
    x = 201,320,023,969/212,073
  6. Step 6: Final answer
    x = 949,295.87

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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.