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Finding the Third Proportional to 216,375 and 470,846

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Solution

The third proportional to 216,375 and 470,846 is: 1,024,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,375 : 470,846 = 470,846 : x
  2. Step 2: Convert to fraction form
    216,375/470,846 = 470,846/x
  3. Step 3: Cross multiply
    216,375x = 470,846 × 470,846
  4. Step 4: Simplify right side
    216,375x = 221,695,955,716
  5. Step 5: Solve for x
    x = 221,695,955,716/216,375
  6. Step 6: Final answer
    x = 1,024,591.36

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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.