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Finding the Third Proportional to 215,795 and 468,283

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Solution

The third proportional to 215,795 and 468,283 is: 1,016,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,795 : 468,283 = 468,283 : x
  2. Step 2: Convert to fraction form
    215,795/468,283 = 468,283/x
  3. Step 3: Cross multiply
    215,795x = 468,283 × 468,283
  4. Step 4: Simplify right side
    215,795x = 219,288,968,089
  5. Step 5: Solve for x
    x = 219,288,968,089/215,795
  6. Step 6: Final answer
    x = 1,016,191.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.