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Finding the Third Proportional to 378,078 and 598,956

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Solution

The third proportional to 378,078 and 598,956 is: 948,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,078 : 598,956 = 598,956 : x
  2. Step 2: Convert to fraction form
    378,078/598,956 = 598,956/x
  3. Step 3: Cross multiply
    378,078x = 598,956 × 598,956
  4. Step 4: Simplify right side
    378,078x = 358,748,289,936
  5. Step 5: Solve for x
    x = 358,748,289,936/378,078
  6. Step 6: Final answer
    x = 948,873.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.