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Finding the Third Proportional to 215,516 and 469,012

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Solution

The third proportional to 215,516 and 469,012 is: 1,020,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,516 : 469,012 = 469,012 : x
  2. Step 2: Convert to fraction form
    215,516/469,012 = 469,012/x
  3. Step 3: Cross multiply
    215,516x = 469,012 × 469,012
  4. Step 4: Simplify right side
    215,516x = 219,972,256,144
  5. Step 5: Solve for x
    x = 219,972,256,144/215,516
  6. Step 6: Final answer
    x = 1,020,677.15

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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.