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Finding the Third Proportional to 245,104 and 378,577

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Solution

The third proportional to 245,104 and 378,577 is: 584,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,104 : 378,577 = 378,577 : x
  2. Step 2: Convert to fraction form
    245,104/378,577 = 378,577/x
  3. Step 3: Cross multiply
    245,104x = 378,577 × 378,577
  4. Step 4: Simplify right side
    245,104x = 143,320,544,929
  5. Step 5: Solve for x
    x = 143,320,544,929/245,104
  6. Step 6: Final answer
    x = 584,733.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.