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Finding the Third Proportional to 379,008 and 824,832

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Solution

The third proportional to 379,008 and 824,832 is: 1,795,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,008 : 824,832 = 824,832 : x
  2. Step 2: Convert to fraction form
    379,008/824,832 = 824,832/x
  3. Step 3: Cross multiply
    379,008x = 824,832 × 824,832
  4. Step 4: Simplify right side
    379,008x = 680,347,828,224
  5. Step 5: Solve for x
    x = 680,347,828,224/379,008
  6. Step 6: Final answer
    x = 1,795,075.11

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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.