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Finding the Third Proportional to 212,922 and 334,011

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Solution

The third proportional to 212,922 and 334,011 is: 523,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,922 : 334,011 = 334,011 : x
  2. Step 2: Convert to fraction form
    212,922/334,011 = 334,011/x
  3. Step 3: Cross multiply
    212,922x = 334,011 × 334,011
  4. Step 4: Simplify right side
    212,922x = 111,563,348,121
  5. Step 5: Solve for x
    x = 111,563,348,121/212,922
  6. Step 6: Final answer
    x = 523,963.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.