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Finding the Third Proportional to 215,070 and 467,868

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Solution

The third proportional to 215,070 and 467,868 is: 1,017,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,070 : 467,868 = 467,868 : x
  2. Step 2: Convert to fraction form
    215,070/467,868 = 467,868/x
  3. Step 3: Cross multiply
    215,070x = 467,868 × 467,868
  4. Step 4: Simplify right side
    215,070x = 218,900,465,424
  5. Step 5: Solve for x
    x = 218,900,465,424/215,070
  6. Step 6: Final answer
    x = 1,017,810.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.