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Finding the Third Proportional to 216,934 and 468,962

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Solution

The third proportional to 216,934 and 468,962 is: 1,013,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,934 : 468,962 = 468,962 : x
  2. Step 2: Convert to fraction form
    216,934/468,962 = 468,962/x
  3. Step 3: Cross multiply
    216,934x = 468,962 × 468,962
  4. Step 4: Simplify right side
    216,934x = 219,925,357,444
  5. Step 5: Solve for x
    x = 219,925,357,444/216,934
  6. Step 6: Final answer
    x = 1,013,789.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.