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Finding the Third Proportional to 234,015 and 456,366

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Solution

The third proportional to 234,015 and 456,366 is: 889,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,015 : 456,366 = 456,366 : x
  2. Step 2: Convert to fraction form
    234,015/456,366 = 456,366/x
  3. Step 3: Cross multiply
    234,015x = 456,366 × 456,366
  4. Step 4: Simplify right side
    234,015x = 208,269,925,956
  5. Step 5: Solve for x
    x = 208,269,925,956/234,015
  6. Step 6: Final answer
    x = 889,985.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.