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Finding the Third Proportional to 214,388 and 468,763

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Solution

The third proportional to 214,388 and 468,763 is: 1,024,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,388 : 468,763 = 468,763 : x
  2. Step 2: Convert to fraction form
    214,388/468,763 = 468,763/x
  3. Step 3: Cross multiply
    214,388x = 468,763 × 468,763
  4. Step 4: Simplify right side
    214,388x = 219,738,750,169
  5. Step 5: Solve for x
    x = 219,738,750,169/214,388
  6. Step 6: Final answer
    x = 1,024,958.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.