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Finding the Third Proportional to 368,178 and 794,448

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Solution

The third proportional to 368,178 and 794,448 is: 1,714,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,178 : 794,448 = 794,448 : x
  2. Step 2: Convert to fraction form
    368,178/794,448 = 794,448/x
  3. Step 3: Cross multiply
    368,178x = 794,448 × 794,448
  4. Step 4: Simplify right side
    368,178x = 631,147,624,704
  5. Step 5: Solve for x
    x = 631,147,624,704/368,178
  6. Step 6: Final answer
    x = 1,714,245.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.