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Finding the Third Proportional to 212,949 and 469,106

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Solution

The third proportional to 212,949 and 469,106 is: 1,033,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,949 : 469,106 = 469,106 : x
  2. Step 2: Convert to fraction form
    212,949/469,106 = 469,106/x
  3. Step 3: Cross multiply
    212,949x = 469,106 × 469,106
  4. Step 4: Simplify right side
    212,949x = 220,060,439,236
  5. Step 5: Solve for x
    x = 220,060,439,236/212,949
  6. Step 6: Final answer
    x = 1,033,395.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.