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Finding the Third Proportional to 215,508 and 468,780

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Solution

The third proportional to 215,508 and 468,780 is: 1,019,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,508 : 468,780 = 468,780 : x
  2. Step 2: Convert to fraction form
    215,508/468,780 = 468,780/x
  3. Step 3: Cross multiply
    215,508x = 468,780 × 468,780
  4. Step 4: Simplify right side
    215,508x = 219,754,688,400
  5. Step 5: Solve for x
    x = 219,754,688,400/215,508
  6. Step 6: Final answer
    x = 1,019,705.48

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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.